PSAT Math Multiple-Choice Question 615: Answer and Explanation

Question: 615

A carpenter charges a $40 initial fee for an in-home visit and $60 for each half hour worked. Which inequality models the total fee, F, for H hours worked where H > 0?

• A. F(H) = 40 + 30H
• B. F(H) = 40 + 60H
• C. F(H) = 40 + 120H
• D. F(H) = 60 + 40H

Correct Answer: C

Explanation:

(C) The carpenter charges a flat fee of $40, so our equation will have a constant of 40. The carpenter also charges $60 for each half hour worked. Therefore, the carpenter charges $120 for each hour, H, worked. Therefore, the carpenter's total fee for working H hours is:

F(H) = 40 + 120H

This is answer (C).