The cost for renting a weed trimmer varies directly with the number of hours used. A weed trimmer rented for 5 hours costs $32.50. Which choice shows the direct variation equation and the amount of rent for 8 hours in this situation?

A y = $6.5x, y = $52.00

B y = $32.5x, y = $260.00

C y = $5x, y = $40.00

D y = $8x, y = $64.00

Question

Mathematics

Meghan

9 November, 23:45

The cost for renting a weed trimmer varies directly with the number of hours used. A weed trimmer rented for 5 hours costs $32.50. Which choice shows the direct variation equation and the amount of rent for 8 hours in this situation?

A y = $6.5x, y = $52.00

B y = $32.5x, y = $260.00

C y = $5x, y = $40.00

D y = $8x, y = $64.00

+4

Answers (1)

Know the Answer?

Jayden Roberts · Answer 1

Let the cost for renting be y and the number of hours be x

then:

y=kx

where:

k is the constant of proportionality

k=y/x

y=$32.5 when x=5 hours

thus;

k=32.5/5

k=6.5

hence the equation is:

y=6.5x

thus the value of y when x=8 hours will be:

y=6.5 (8) = $52

Answer:'

A y = $6.5x, y = $52.00