AnswersWCPSS-Introductory Math CRApplying Linear FunctionsQuestion 5
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Applying Linear Functions

Question 5 • WCPSS-Introductory Math CR

A construction company completes two projects. The first project has $3,000 in labor expenses for 60 hours worked, while the second project has $2,100 in labor expenses for 42 hours worked. The relationship between the company’s labor expenses and hours worked is linear. Which of the following would correctly calculate the y-intercept of the linear equation? Select all that apply.

Answer
A
3,000 = 50(60) + b
B
3,000 = 0.02(60) + b
C
60 = 50(3,000) + b
D
2,100 = 0.02(42) + b
E
2,100 = 50(42) + b
F
42 = 50(2,100) + b

Explanation

Let hours worked be x and labor expenses be y. The rate is $3,000 ÷ 60 = $50 per hour, which also matches $2,100 ÷ 42, so the equation is y = 50x + b. Substituting either project’s hours and expenses gives 3,000 = 50(60) + b and 2,100 = 50(42) + b. These are choices A and E.

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