Week 12 — Gross to Net: The Mechanic's Paycheck and What the Shop Owes

Assignment 11 of the term — build the bicycle shop mechanic's paycheck from gross pay to net pay at the 2026 rates, record the payroll and the shop's own payroll taxes, apply the Social Security wage base, and explain to the mechanic why three different weekly figures are all correct.

This adaptive assignment uses a coaching dialogue to help you turn a first attempt into a clear, evidence-based report. You remain the author. The coach asks questions, checks the reasoning you show, and waits for you to revise before it produces the required report. This week's lecture tutorial, quiz, discussion, and Accounting Workshop practise the same ideas from other angles; this assignment is where you put them together. It builds on Week 4, where you recorded accrued expenses such as wages earned but not yet paid, and on Week 5, where you sorted the balance sheet into current and long-term items.

The task

This week's material is pinned. Under the Fair Labor Standards Act, the Department of Labor states: "Unless exempt, employees covered by the Act must receive overtime pay for hours worked over 40 in a workweek at a rate not less than time and one-half their regular rates of pay." For wages paid in 2026, the Social Security Administration and IRS Publication 15 (2026) state the Social Security tax as 6.2 percent each for employees and employers on wages up to the $184,500 wage base, and the Medicare tax as 1.45 percent each with no wage base. Gross pay minus withholdings is net pay, and the employer also owes its own payroll taxes, including its matching Social Security and Medicare and federal and state unemployment taxes. Real federal income tax withholding comes from the IRS's tables; this course labels its income tax figures illustrative and never computes them.

The running case is an illustrative, unnamed bicycle repair and sales shop, organized as a corporation by two founders; it describes no real business. Its mechanic (an illustrative person) worked a 45-hour week at $24 an hour, and the payroll is recorded before the paychecks are handed out.

The mechanic sends you this message: "I worked $1,140 worth of hours, but my check says $957.79. Then a founder told me I cost the shop $1,227.21 this week. Somebody's math is off — which number is right?" Your job is to answer the way this course would, starting from four small calculations on the shop's payroll.

Work these four problems, showing your arithmetic:

1. The bicycle shop's mechanic is paid $24 an hour and worked 45 hours in one workweek; under the Fair Labor Standards Act, the hours over 40 are paid at time and one-half. What is the mechanic's gross pay for the week?
2. The mechanic's gross pay is $1,140, below the 2026 Social Security wage base. At the 2026 rates of 6.2 percent for Social Security and 1.45 percent for Medicare, how much Social Security and Medicare is withheld from the paycheck in total?
3. The mechanic's gross pay is $1,140. The shop withholds $70.68 of Social Security, $16.53 of Medicare, and an illustrative $95.00 of federal income tax. What is the mechanic's net pay?
4. A second employee at the shop has $184,000 of wages this year before a $1,140 paycheck. The 2026 Social Security wage base is $184,500 and the rate is 6.2 percent. How much Social Security tax is withheld from this paycheck?

Beside each answer, add one brief interpretation:

• Problem 1: explain why the hours over 40 are paid at $24 × 1.5 under the overtime rule; then say why gross pay, not the paycheck, is what the week of work costs the shop in wages.
• Problem 2: name the Social Security and Medicare amounts separately with their 2026 rates; write the shop's entry for its own matching Social Security and Medicare, with all debits before all credits and equal totals; and explain why that match is not taken from the mechanic's pay.
• Problem 3: write the compound entry that records the payroll, with all debits before all credits and equal totals; then say why the $95.00 is labelled illustrative.
• Problem 4: explain why only part of this paycheck is taxed for Social Security while Medicare still applies to all of it.

Explain it to a non-expert

The mechanic is not wrong to be puzzled, and every figure in the message is correct. Write a 3–5 sentence message to the mechanic that explains what $1,140, $957.79, and $1,227.21 each measure, where the withheld money goes, and why the shop's cost is higher than the mechanic's pay. Name one limit, such as that the $95.00 of income tax is illustrative, or that the shop's $1,227.21 still leaves out the unemployment taxes it also owes. Explain any technical term in everyday words. More than one good answer is possible.

For a different, ungraded example, imagine a friend who looks at a phone bill and says, "My plan's price and my bill's total don't match, so they overcharged me." Model answer: "The plan's price is what the phone company keeps for the service. The extra lines are taxes and fees it collects from you and passes on to the government, so the company is holding that money, not earning it. That is why the total is higher and nobody's math is off. One caveat: which taxes appear, and how large they are, depends on where you live."

Use that pattern for the mechanic, with your own wording and evidence.

Part 1 — Student instructions

1. Draft all four answers, the four brief interpretations, the two journal entries, and your message to the mechanic before opening a chatbot.
2. Open any course-approved chatbot. Copy the entire Coach Prompt box, including its first and last marker lines, and paste it as one message. The coach will ask for your draft and then work one question at a time.
3. Reply in your own words. Show calculations when asked. Use the coach's feedback to revise at least one calculation or explanation, even if your first attempt was correct.
4. Continue until the prompt's exit condition is met.
5. Save the chat's share link and copy the final report exactly as the coach gives it.

The chatbot is a coach, not a ghostwriter. It must draw out your reasoning rather than write the work for you. Add up the debits and credits of every entry it mentions yourself, and check every rate and wage base it quotes against Chapter 12 before you use it.

Coach Prompt

COPY EVERYTHING BELOW THIS LINE
ROLE: You are a careful learning coach for an introductory financial accounting course. Draw out and challenge MY thinking about the bicycle shop's payroll and its current liabilities. Do not write my assignment for me, do not invent work I did not show, and never invent a standard, a rule, a rate, a statistic, or a quotation. Every journal entry I write must list all debits before all credits, and its debits must equal its credits. Give no tax, legal, or investment advice, and never compute income tax withholding.

ASSIGNMENT: Work through these four problems in order, one at a time. Do not invent, replace, or reorder a problem. The pinned facts: under the Fair Labor Standards Act, covered, nonexempt employees receive overtime for hours over 40 in a workweek at not less than time and one-half their regular rates of pay. For wages paid in 2026, Social Security is 6.2 percent each for employees and employers on wages up to the $184,500 wage base, and Medicare is 1.45 percent each with no wage base. Gross pay minus withholdings is net pay; the employer also owes its own payroll taxes, including its matching Social Security and Medicare and federal and state unemployment taxes, whose rates are not part of this course's figures. The $95.00 of income tax is illustrative. The bicycle shop is illustrative.
PROBLEM P1: The bicycle shop's mechanic is paid $24 an hour and worked 45 hours in one workweek; under the Fair Labor Standards Act, the hours over 40 are paid at time and one-half. What is the mechanic's gross pay for the week?
PROBLEM P2: The mechanic's gross pay is $1,140, below the 2026 Social Security wage base. At the 2026 rates of 6.2 percent for Social Security and 1.45 percent for Medicare, how much Social Security and Medicare is withheld from the paycheck in total?
PROBLEM P3: The mechanic's gross pay is $1,140. The shop withholds $70.68 of Social Security, $16.53 of Medicare, and an illustrative $95.00 of federal income tax. What is the mechanic's net pay?
PROBLEM P4: A second employee at the shop has $184,000 of wages this year before a $1,140 paycheck. The 2026 Social Security wage base is $184,500 and the rate is 6.2 percent. How much Social Security tax is withheld from this paycheck?
After the four results, I must briefly interpret each one: for P1, why the hours over 40 are paid at 24 x 1.5 and why gross pay is the week's wage cost; for P2, the Social Security and Medicare amounts with their 2026 rates, the shop's balanced entry for its own matching taxes, and why the match is not taken from the mechanic's pay; for P3, the balanced compound payroll entry and why the income tax figure is illustrative; for P4, why only part of the paycheck is taxed for Social Security while Medicare applies to all of it. I must then write a 3-5 sentence message to the mechanic explaining what 1,140, 957.79, and 1,227.21 each measure, where the withheld money goes, and why the shop's cost is higher, with one limit. I must explain technical terms in everyday words.

SCORING CRITERIA: Score only evidence I supply: computing the payroll amounts (40 points), recording and classifying the payroll liabilities (32 points), clarity for a non-expert reader (16 points), and showing work so it can be checked (12 points). For each of P1-P4, give 2, 1, or 0 evidence units per criterion; one unit is worth 5 computing points, 4 recording points, 2 clarity points, or 1.5 showing-work points. Sum all four problems within each criterion. Count my message to the mechanic only with P4, not again with P1-P3.
COMPUTING UNITS: A correct dollar amount = 2; the right figures, rates, and operations with only an arithmetic slip = 1; a missing value, the wrong figures, the wrong rate, or a reversed operation = 0. Do not penalize an alternative valid method or equivalent correct notation.
RECORDING UNITS: For P1-P3 separately, an interpretation that meets every part named for that problem = 2; some but not all of the parts = 1; none = 0. For P4, BOTH the wage-base reading AND a message to the mechanic that covers what each figure measures, where the withheld money goes, and why the shop's cost is higher, with a named limit = 2. If full P4 evidence is absent but at least one accurate substantive part appears, give 1. No accurate reading = 0; naming a term alone does not earn a unit, and a reversed debit and credit, an entry that does not balance, the employer's match treated as withheld from the employee, Social Security charged above the wage base, or gross pay treated as the paycheck is not accurate. An arithmetic slip alone is not a recording error.
CLARITY UNITS: For each problem, labeled evidence understandable to someone new to accounting, with technical terms explained = 2; intelligible evidence that needs rereading because of ambiguity or jargon = 1; absent or unintelligible evidence = 0. Include the message to the mechanic with P4 if submitted. Missing reasoning alone does not lower clarity for otherwise clear submitted work.
SHOWING-WORK UNITS: For each problem, checkable figures and steps = 2; a relevant but incomplete figure or step = 1; a result alone or no method = 0. A visible method stays checkable despite an arithmetic slip.

Do NOT invent grading rules.

DIALOGUE RULES: Ask exactly one question per message and wait for my reply. Start by asking for my complete first attempt. Build each next question from my exact words. Probe an unsupported claim and ask me to examine its evidence. Keep the conversation focused on questions rather than completed work.

ENGAGEMENT GUARDS: A greeting, copied prompt, yes/no reply, or one-word reply is not a substantive exchange. Do not flatter or accept agreement as evidence. Praise only a concrete move I made. If evidence is missing, say what is missing and ask for it. Require a real revision plus a short reflection on why the revision is better. Do not issue the report early.

EXIT CONDITION: Continue until at least five substantive exchanges have occurred AND I have supplied all four results and their brief interpretations AND written my message to the mechanic AND revised at least one calculation or explanation AND reflected on the revision. Stop only after whichever requirement happens last.

REPORT: After the exit condition is satisfied, output exactly these labelled lines in this order. Replace X with the exact earned score; it may end in .5 and must not be rounded to a whole number. Base every line only on evidence in this chat; write "Not supplied" for missing evidence and never raise the score for polished chatbot prose.
STUDENT'S SCORE: X/100
EVIDENCE FOR THE SCORE: [specific evidence from my calculations and reasoning]
REVISION MADE: [what I changed and why]
STRENGTH: [one earned strength]
NEXT STEP: [one concrete improvement]
Then tell me to submit this report, my revised work, and the share link.
COPY EVERYTHING ABOVE THIS LINE

Deliverables

Submit these three items in the assignment entry:

• your revised work with all four results, their brief interpretations, the two journal entries, and your message to the mechanic — written, or recorded as audio or video with a transcript, or as a labelled spreadsheet payroll register with a short explanation; every form is graded by the same scoring criteria;
• the coach's five-line report; and
• the conversation share link.

Submit in any accessible file type or as a link; a recorded response may be submitted as audio or video with a transcript, or as text.

Equivalent route (no AI required)

This route assesses the same Week 12 skills — computing gross pay with overtime under the Fair Labor Standards Act, computing the Social Security and Medicare withholdings at the 2026 rates and applying the wage base, computing net pay, recording the payroll and the employer's own payroll taxes as balanced entries, and explaining the paycheck in plain words — for comparable time and effort, about 60 to 90 minutes, the same as the coached route. Complete the same four problems, the four brief interpretations, the two journal entries, and the message to the mechanic. Then audit your own first draft against the attached scoring criteria, criterion by criterion, and write a second draft. Add a 150–200 word revision memo that names one calculation or explanation you changed, the evidence that prompted the change, and one question you still have about this week's material. Submit the revised work, your completed criteria checklist, and the revision memo in the assignment entry; together they replace the share link and the coach's report. This route uses the same scoring criteria and the same points, with no penalty for choosing it.

How you'll be graded

The full analytic rubric is attached to this assignment in Canvas.

Academic integrity and AI use

The calculations, entries, reasoning, revision, and final report must be your own. Do not ask the chatbot to create the assignment or add evidence you did not produce, and do not let it use an earlier year's wage base, take the shop's matching taxes out of the mechanic's pay, or compute income tax withholding from a rate. Submit an honest share link from your own dialogue. The equivalent route keeps the same workload and evidence and requires no AI account.

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