Question

HELP PLEASE! Felipe will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of 57 and costs an additional 0.09 per mile driven. The second plan has an initial fee of 50 and costs an additional 0.11 per mile driven.

Answer 1

Part a)
`350\ miles`

Part b)
`\$88.5`

Explanation:

Let

x ----> the number of miles driven

y ----> the total cost

we know that

First Plan

`y=0.09x+57` ----> equation A

Second Plan

`y=0.11x+50` ----> equation B

Part a) For what amount of driving do the two plans cost the same?

Equate equation A and equation B and solve for x

`0.11x+50=0.09x+57`

`0.11x-0.09x=57-50`

`0.02x=7`

`x=350\ miles`

Part b) What is the cost when the two plans cost the same?

For x=350 miles

substitute in equation A or equation B (the cost will be the same)

`y=0.09(350)+57`

`y=\$88.5`