9
QuizMultiple Choice

Joint and Combined Variation

Question 9 • EAP-Algebra Functions and Data Analysis B CR

It takes 4 lawnmowers to cut 2 acres of grass in 2 hours. If the amount of time varies directly with the amount of grass and inversely with the number of lawnmowers, how many hours will it take 2 lawnmowers to cut 6 acres of grass?

Answer
A
3
B
4
C
8
D
12

Explanation

Time varies directly with the acres and inversely with the number of lawnmowers. Going from 2 acres to 6 acres triples the work, while reducing the mowers from 4 to 2 doubles the time, so the total time is 2 × 3 × 2 = 12 hours. The correct choice is D, 12 hours.

AI-written and checked against the verified answer.

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