Government, Civic Participation & Economics — Final exam worked answers

Student exam paper

A course-authored government and economics assessment. Use two 60-minute blocks for the midterm, three for the final, and one for the optional sample. Marking and revision have a separate parent-plan session.

40 questions · 120 points · suggested 180 minutes

Student instructions

  1. Use the supplied evidence; notes, a glossary, and a calculator are permitted. Show units, steps, and assumptions for numerical answers.
  2. Give short reasoned answers; distinguish observations from interpretations.
  3. Keep worked keys closed until after attempting the paper.
  4. Equivalent supported explanations and accessible response formats are accepted.

Civic and economic inquiry methods

TaskMethod
ContextIdentify the institution, decision, period, and relevant conditions.
SourceIdentify maker, date, purpose, form, and limits.
CausationExplain a mechanism; chronology alone is not causation.
ComparisonUse stated criteria, comparable units, and explicit assumptions.

Coverage and marks

ChapterQuestionsPoints
Foundations of Government & Public Reasoning1, 2, 3, 4, 515
Constitution, Branches & Federalism6, 7, 8, 9, 1015
Rights, Justice & Public Institutions11, 12, 13, 14, 1515
Civic Participation & Public Policy16, 17, 18, 19, 2015
Economic Foundations & Market Decisions21, 22, 23, 24, 2515
Measuring the Economy & Public Policy26, 27, 28, 29, 3015
Household Finance & Major Decisions31, 32, 33, 34, 3515
Global Connections, Risk & Economic Inquiry36, 37, 38, 39, 4015

Parent / teacher marking guide

Question 1 · 3 points

Invented case: a mayor announces a bridge fee; the town charter requires council approval; the council has not voted; drivers have begun paying after an enforcement notice. Explain what the packet establishes about power, authority, and legitimacy.

Worked answer

Collection establishes an exercise of practical power, while the supplied charter identifies a council procedure that has not occurred. The packet therefore supports questioning the mayor’s claimed authority. It does not establish all possible powers or legal remedies, and payment does not prove residents accepted the fee as justified. Review the complete rules, notices, decisions, and available review before drawing a broader conclusion.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 2 · 3 points

Invented assembly: 60 eligible landowners support a speech restriction and 40 oppose it; residents without property cannot vote; a proposed charter protects expression. Explain what the vote proves and what questions remain.

Worked answer

The proposal has 60 percent support among the 100 participating eligible landowners. That fact does not establish support among excluded residents or compliance with the proposed charter’s protection. The case therefore involves participation, consent, and a limit on majority action. A defensible evaluation must state which membership and rights rules apply and consider the proposal’s actual effect; it cannot infer universal legitimacy from the tally alone.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 3 · 3 points

Invented election: Candidate A receives 45 votes, B 35, and C 20; all 100 votes are valid; the stated rule is plurality. A commentary calls A’s result a majority endorsement of every campaign proposal. Correct the commentary and qualify what can be inferred.

Worked answer

A wins under plurality because 45 is greater than 35 or 20. A receives 45 percent, so the result is not a majority of valid votes. The election selects an officeholder; it does not reveal each voter’s reason or independently approve every proposal. Additional survey or issue-specific evidence would be needed for those claims, and turnout would require a separate eligible-population denominator.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 4 · 3 points

System A separately elects a president and assembly; System B selects an executive who must retain assembly confidence. Both have local councils and written rights provisions. No enforcement records are supplied. Identify what can and cannot be concluded.

Worked answer

The packet supports a comparison of executive–legislative relationships: separate mandates in A and a confidence relationship in B. Local councils do not establish whether either system is federal, and written rights do not prove enforcement or judicial independence. Further constitutional and practical records are needed. The description does not justify ranking all decisions or generalizing about residents’ political preferences.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 5 · 3 points

Invented packet: reported crashes fell from 20 to 12 after new signs; the road was also rebuilt; vehicle trips fell; one publicity post calls the signs the sole cause. Evaluate the claim using the supplied evidence.

Worked answer

Reported crashes fell by eight, or 40 percent of the original 20. The packet establishes a decline in counts, not the signs’ isolated effect or a crash rate per trip. Reconstruction and traffic changes are alternative influences. A useful next comparison would use consistent reporting, trip counts, timing, and comparable roads. It is reasonable to investigate whether the signs contributed, but the sole-cause assertion exceeds the supplied evidence.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 6 · 3 points

Invented legislative case: a bill passes Congress, the president vetoes it, and both chambers later reach the constitutional two-thirds override threshold. Explain which branch decisions interact and why this is not unilateral executive lawmaking.

Worked answer

The initial bill reflects congressional action; the veto supplies an executive check; the override permits Congress to enact the measure through the required supermajorities. The sequence shows divided authority and interaction. The case does not establish whether the policy is wise or how often overrides succeed; those require separate evidence.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 7 · 3 points

Invented record: a House committee approves Bill A; the full House has not voted; the Senate considers Bill B with a different funding amount; a headline says Congress has enacted the program. Correct the headline and identify the next evidence needed.

Worked answer

The supplied record establishes committee approval in one chamber and consideration of a different bill in the other. It does not establish full passage, agreement on the same text, or completed presentment. The headline exceeds the evidence. Later vote records, final text, and presidential or override action would establish whether a law resulted; appropriation and delivery records would address implementation.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 8 · 3 points

Invented program: a statute authorizes grants for qualifying rural towns; an executive speech promises every town a grant; funding covers 30 awards; 50 towns meet the criteria. Explain the differences among the promise, authority, and practical coverage.

Worked answer

Eligibility extends to the 50 qualifying towns in the packet, while supplied funds cover 30 awards. If each award serves one town, at most 60 percent of those eligible towns can receive one through that funding alone. The speech does not expand statutory eligibility or prove additional funds exist. Selection criteria, award amounts, and delivery records would establish actual distribution and effects.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 9 · 3 points

Invented case: a reviewing court finds an applicant received no required notice and orders a new hearing; it expressly leaves eligibility undecided. A headline says the applicant has won the requested grant. Correct the headline using the disposition.

Worked answer

The applicant obtained a procedural remedy: a new hearing after a notice failure. The court did not award the grant and expressly left eligibility unresolved. The headline confuses a successful challenge to procedure with a final substantive result. The new hearing record and later decision would address eligibility; the supplied case does not establish how every similar application should be resolved.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 10 · 3 points

Invented historical packet: a constitutional protection exists at Date A; a state practice conflicts with it; a later court decision supplies a remedy at Date B. No actual lawsuit is represented. Explain why Date A and Date B answer different questions.

Worked answer

Date A concerns the protection’s formal constitutional basis, while Date B concerns a particular application and remedy. A violation does not erase the text’s existence, and ratification does not prove universal compliance. Additional decisions, enforcement records, and affected people’s accounts are needed to evaluate practical change.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 11 · 3 points

Fictional public-course rules: Rule A requires an accurate explanation of a religious tradition; Rule B requires a signed personal affirmation of its truth. A commentary says both are the same assessment of knowledge. Explain the difference without judging the religion.

Worked answer

Rule A assesses explanation and context; Rule B asks the learner to adopt a personal belief. Those are different tasks even when they concern the same tradition. The difference can be explained without endorsing or rejecting the belief. A legal evaluation would also need the institution, governing rules, and remedy, but the supplied participation requirements already contradict the claim that both merely assess knowledge.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 12 · 3 points

Fictional packet: a criminal court acquits a defendant because the prosecution did not meet its proof standard; a separate civil damages claim has not been heard. A commentator announces that no civil claim can remain. Evaluate the inference.

Worked answer

The acquittal resolves criminal guilt under the applicable criminal standard. It does not, on this packet alone, decide every separate civil issue. The commentator conflates proceedings with potentially different parties, questions, standards, and remedies. The civil pleadings, governing rules, evidence, and eventual decision would be needed to explain that claim. This is a conceptual case, not advice about an actual lawsuit.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 13 · 3 points

Teaching summaries: the Fifteenth Amendment prohibits racial denial of voting; local registration barriers persist; the Voting Rights Act of 1965 provides stronger enforcement tools. Explain why a later law was needed despite the amendment and identify records that could show changed access.

Worked answer

The amendment supplied a right, but discriminatory practices obstructed it. Legislation strengthened enforcement. Registration records can show changes, while testimony and procedures help explain whether access improved fairly.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 14 · 3 points

Invented town budget: $100,000 available, of which $30,000 is restricted to road work; a library proposal costs $80,000 initially and requires later maintenance. No other funds are supplied. Explain whether the total establishes the proposal can be fully financed.

Worked answer

The unrestricted amount is $70,000, so it is $10,000 below the initial library cost under the supplied restrictions. The $100,000 total does not prove full financing, and later maintenance adds an unresolved obligation. Additional lawful funding or a revised proposal would be needed. The calculation identifies feasibility under stated conditions; it does not decide whether the library should be preferred to another use.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 15 · 3 points

Invented school program: participation rises from 100 of 500 eligible pupils to 240 of 600; average attendance among participants rises, but no comparable nonparticipant record is supplied. Calculate coverage and explain why the attendance claim needs additional evidence.

Worked answer

The figures show greater recorded coverage, from 20 to 40 percent. Attendance improvement among participants is relevant but does not isolate the program’s causal effect because other changes and selection could matter. Comparable records over time, service information, and a suitable comparison would improve evaluation. These figures are an invented study aid.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 16 · 3 points

Invented election: 1,000 eligible people, 800 registered people, and 600 valid voters. A report calls turnout 75 percent without identifying the base. Calculate both relevant rates and explain the ambiguity.

Worked answer

Turnout is 60 percent of eligible people and 75 percent of registered people. Both calculations are correct under different definitions, so an unlabeled percentage is incomplete rather than enough to establish which measure the report used. The figures do not reveal why people did not register or vote. Comparisons need matched definitions, period, and eligibility rules.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 17 · 3 points

Invented federal-category teaching packet: Candidate A’s campaign reports $10,000 in receipts; Organization B reports $5,000 in separate advertising; coordination has not been investigated. A headline says A received $15,000. Evaluate the headline and its limits.

Worked answer

The packet establishes $10,000 received by the campaign and $5,000 spent by another organization. It does not establish $15,000 received by A. The coordination question also remains unresolved. Definitions, disclosures, communication records, and applicable rules would be needed for further classification. A combined activity total cannot by itself establish illegality, influence, or voters’ motives.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 18 · 3 points

Invented poll: 100 invited people; 20 responses; 15 support and five oppose; no information about nonrespondents or representativeness. Calculate support and response rates, then qualify the population claim.

Worked answer

Support is 75 percent among respondents and the response rate is 20 percent of invitees. The supplied data do not reveal the other 80 views or establish a representative population estimate. The result accurately describes the replies under this method, but cannot be reported as 75 percent of all residents without further evidence. No sampling margin is supplied or justified by the packet.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 19 · 3 points

Supplied chronology: Judiciary Committee articles in July 1974; Supreme Court evidence decision that month; resignation effective August 9. A draft says the Senate convicted Nixon and removed him. Correct the draft using the sequence and distinguish the relevant processes.

Worked answer

The draft invents a Senate conviction. Committee approval recommended articles, while the Court’s decision concerned evidence in criminal proceedings. Nixon resigned before the full House voted and before a Senate removal trial. The sequence shows several sources of pressure without conflating investigation, impeachment, criminal adjudication, and resignation.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 20 · 3 points

Invented annual packet: A $60,000/300 residents; B $40,000/160; existing service $20,000/80; budget $60,000. B includes 60 people without other transport; comparable figures are missing for the other options. Draft a qualified recommendation using ratios and an explicit criterion.

Worked answer

A costs $200 per resident; B and existing service each cost $250. All fit the supplied budget, but A uses it fully. The ratios favor A on this particular measure, while B’s documented access for 60 people without alternatives raises a separate distributional consideration. A supported recommendation states how it weighs those criteria and identifies missing comparable access and operating information. The packet does not produce one automatic policy verdict.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 21 · 3 points

Invented model: eight hours; two booklets or four posters per hour; constant productivity. A plan promises 12 booklets and 16 posters in those eight hours. Test feasibility and calculate the booklet opportunity cost.

Worked answer

Twelve booklets require six hours and 16 posters require four, totaling ten hours. The plan is infeasible within eight hours under the stated rates. One booklet’s half-hour could produce two posters, so its opportunity cost is two posters. A revised allocation or an explicit capacity change is needed; a desire for both outputs does not remove the constraint.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 22 · 3 points

Invented weekly schedule: prices $1–$5; original demand 80,60,40,20,0; supply 0,20,40,60,80. Demand then rises by 40 at every price. Identify both equilibria and a shortage at the original $3 after the shift.

Worked answer

Originally, $3 and 40 units equate supply and demand. After the shift, demand at $3 is 80 while supply remains 40, a shortage of 40. At $4, both are 60, so the new listed equilibrium is $4 and 60 units. The prediction holds within this supplied model; it does not establish the cause of an actual market change or instant adjustment.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 23 · 3 points

Invented period: 100 units sold at $5; accounting costs $420; owner’s forgone alternative income $60 is not included in those costs. Calculate revenue, accounting profit, and economic profit.

Worked answer

Revenue is $500; accounting profit is $80; economic profit under the supplied definitions is $20. The calculation includes the $60 forgone income once. It does not establish cash-flow timing, future demand, or all social effects. If an opportunity cost were already in the cost measure, subtracting it again would be an error.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 24 · 3 points

Invented bakery: 80 loaves in 20 hours before a change; 100 in 20 hours afterward; wage records and other causal evidence are absent. Calculate productivity growth and qualify a wage claim.

Worked answer

Productivity rises from four to five loaves per hour. The increase is one divided by four, or 25 percent. This establishes a rate change under consistent measures, not an equal wage increase or the isolated effect of one technology. Compensation, output quality, inputs, and implementation records would help explain the change and its distribution.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 25 · 3 points

Invented model: private cost $10 per unit and separately measured external harm $4 per unit; proposed charge $4. No demand curve or enforcement data are supplied. Calculate modeled social cost and explain the proposal’s limits.

Worked answer

Modeled social cost is $14 per unit. A $4 charge could make the measured external effect enter the producer’s decision under the assumptions. The packet lacks demand, damage variation, enforcement, and distributional evidence, so it cannot establish optimal output or universal effectiveness. It illustrates a mechanism rather than resolving a real policy dispute.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 26 · 3 points

Invented period: C=100, I=40, G=30, exports=20, imports=10, population=90; all components use one consistent monetary unit. Calculate GDP and per-person GDP, then explain a limitation.

Worked answer

GDP is 180 units and per-person GDP is two units. Imports are removed to avoid including foreign production in domestic output. Neither the subtraction nor the average establishes household income, equal distribution, or overall well-being. The supplied model needs other indicators for those questions and does not identify an actual national economy.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 27 · 3 points

Invented starting entry: a bank issues a $1,000 loan and credits a matching deposit; fees and later transactions are excluded. Identify assets and liabilities for bank and borrower.

Worked answer

The bank holds a $1,000 loan asset and owes a $1,000 deposit liability. The borrower holds the deposit asset and owes the loan obligation. The entry illustrates creation of a deposit with credit, not $1,000 of free net wealth or proof of unlimited bank lending. Later payments, transfers, risk, capital, and liquidity conditions require additional entries and institutional context.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 28 · 3 points

Invented simplified public budget: initial debt 100 units; first-year deficit 20; second-year deficit 10; no other stock adjustments or repayments. Calculate ending debt and evaluate “debt fell because the deficit halved.”

Worked answer

Debt reaches 120 after the first year and 130 after the second. The deficit halves from 20 to 10, but debt still increases. The claim confuses a smaller positive flow with a falling stock. Real accounts can include interest and other adjustments; those are excluded here and should not be silently invented.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 29 · 3 points

Invented population: 90 employed, ten unemployed under the stated classification, 40 outside the labor force. Price index moves from 120 to 126 over one year. Calculate unemployment and inflation, and state one limitation.

Worked answer

Unemployment is ten percent of the 100-person labor force. Inflation is five percent over the stated year. Neither measure uses the entire 140-person population as its denominator, and six index points are not six percent. The measures do not reveal every household’s work needs or exact purchase-price change; participation and distributional evidence would add context.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 30 · 3 points

Invented annual incomes in one unit: 10,10,10,10,60. No asset or debt records are supplied. Calculate mean and median and evaluate a claim that everyone is equally wealthy.

Worked answer

Mean income is 20 and median income is 10. The values show unequal incomes, while wealth cannot be determined without assets and liabilities at a defined time. The claim confuses an average flow with equal individual stocks. More definitions and records would be needed to compare purchasing power or household circumstances.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 31 · 3 points

Fictional month: take-home income $1,200; spending $900; saving $100. Separately, cash before an early bill is $50 and that bill is $80, before the next receipt. Calculate the unallocated margin and early cash gap.

Worked answer

The monthly unallocated margin is $200. At the early date, the $80 bill exceeds $50 available cash by $30. These are different measures: the period’s planned balance and a date-specific cash constraint. The packet does not supply a free borrowing option or every actual payment, so a feasible revision needs further timing and resource information.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 32 · 3 points

Both supply $1,000 with no extra fees: A is 12×$90; B is 24×$50. Rates and other schedules are not supplied. Calculate total repayments and charges; explain a limit.

Worked answer

A repays $1,080 with an $80 simplified charge; B repays $1,200 with a $200 charge. B’s smaller installment does not make it cheaper overall. Payment timing, affordability, and conditions matter, and these totals alone are not formal APR calculations. The packet supports a defined cost comparison rather than a recommendation for a real borrower.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 33 · 3 points

Invented model: $1,000 starting amount; five percent annual compounding for two years; no fees, tax, additions, withdrawals, or loss. Calculate the balance and distinguish it from a forecast.

Worked answer

The balance is $1,102.50, including $102.50 modeled growth. Simple interest under the comparison gives $1,100. The $2.50 difference comes from growth on prior growth. The model assumes a constant positive rate and excludes actual risk, costs, tax, and inflation; it is not a promised return or an instruction to choose an investment.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 34 · 3 points

Teaching-only brackets: first $10,000 at ten percent; next $10,000 at twenty percent; taxable income $15,000. No other provisions apply. Calculate tax, average rate, and marginal rate.

Worked answer

Tax is $2,000. The average rate is about 13.33 percent, and the marginal rate within the supplied second range is twenty percent. Applying twenty percent to all income would incorrectly give $3,000. These are invented teaching brackets, not current tax rates or a filing calculation.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 35 · 3 points

Invented annual education cost $6,000, grant $2,000, loan $3,000; no other resources or charges are supplied. Calculate net price, immediate uncovered amount, and loan obligation.

Worked answer

Net price is $4,000. The $3,000 loan finances part of it, leaving $1,000 uncovered under the supplied resources, while creating a $3,000 principal obligation plus any terms not supplied. It does not reduce net price to $1,000. Timing, loan cost, grant conditions, and other expenses remain necessary for a fuller feasibility comparison.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 36 · 3 points

Invented hours per unit: A cloth two, grain one; B cloth six, grain two. Divisible output, constant rates, no trade costs. Identify advantages and test one cloth for 2.5 grain.

Worked answer

A has absolute advantage in both goods. Cloth costs A two grain and B three, while grain costs A half a cloth and B one-third. Thus A has comparative advantage in cloth and B in grain. Exchanging one cloth for 2.5 grain can benefit both under the supplied assumptions because the rate lies between two and three. Feasible quantities, distribution, and extra costs remain separate questions.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 37 · 3 points

Invented rates change from $1.00 per euro to $1.20; item price stays €100; fees are excluded. Calculate dollar prices and identify the currencies’ changes.

Worked answer

The price converts from $100 to $120, a twenty percent increase in dollar cost under the assumptions. The euro appreciates and the dollar depreciates relative to each other. The exercise does not establish actual market rates, purchases, or profit effects. Seller prices, fees, contracts, and demand are held outside this simple conversion.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 38 · 3 points

Invented periods: energy 1,000 then 1,080 units; real output 100 then 120 units. Calculate both changes and evaluate “efficiency improvement means total use fell.”

Worked answer

Intensity falls from ten to nine energy units per output, a ten percent decline. Total energy use rises eight percent. Thus the quoted claim is false for this packet: efficiency per unit improves while total use increases. The arithmetic does not establish the cause or full environmental effect; resource type, technology, and other evidence would add context.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 39 · 3 points

Invented entity: assets $100, debt $80; assets then fall to $90; debt is unchanged; fees and further transactions excluded. Calculate equity before and after, and percentage changes.

Worked answer

Equity falls from $20 to $10. Assets decline ten percent, while equity declines fifty percent. The loss is magnified relative to the smaller residual under fixed-debt assumptions. The packet does not establish cash timing, asset-sale effects, regulatory treatment, or a complete historical cause; those require additional evidence.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

Question 40 · 3 points

Invented packet: A cost $6,000/grant $3,000/monthly income $800/spending $650; B cost $3,500/grant $1,000/income $1,000/spending $850; twelve fixed months; zero starting savings. Calculate net prices, savings, and gaps, then state a timing limitation.

Worked answer

Net prices are $3,000 and $2,500; each plan generates $1,800 modeled annual saving; gaps are $1,200 for A and $700 for B. B’s smaller gap is one advantage under the assumptions, not proof of identical outcomes or universal superiority. Tuition dates, income certainty, excluded costs, and financing terms remain essential. Annual saving cannot automatically pay an earlier obligation.

Identify the relevant context and evidence.

Explain the connection using the supplied information.

Qualify the conclusion with the relevant limitation or distinction.

Marking criteria

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