17
QuizMultiple Choice

Break-Even Points

Question 17 • LJISD-TX-Precalculus-B-CR

Mary’s yard is a mess. She needs to hire someone to prune her trees and shrubs. A landscaping service she calls quotes her a price of $15 consultation fee plus $8 an hour for the actual work. Mary’s neighbor has offered to help her out. She doesn’t charge a consultation fee, but does charge $10 an hour for her work. Write two equations, one that describes the landscaping service charge and one that describes your neighbor’s charge. Let C equal the charge as a function of h, the number of hours worked.

Answer
A
C = 15 + 10h C = 8h
B
C = 10h + 8h C = 15
C
C = 15 + 8h C = 10h
D
C = 18hC = 15

Explanation

The landscaping service charges a fixed $15 consultation fee plus $8 for each hour, so its equation is C = 15 + 8h. The neighbor charges $10 per hour and no fixed fee, so her equation is C = 10h. These match choice C.

AI-written and checked against the verified answer.

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