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

Question

2 years ago

13

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.

1 answer:

harina [27] · Answer 1 · 2022-08-11T16:57:13+03:00

Answer:

Part a) $350\ miles$

Part b) $\$88.5$

Step-by-step explanation:

Let

x ----> the number of miles driven

y ----> the total cost

we know that

<em>First Plan</em>

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

<em>Second Plan</em>

$y=0.11x+50$ ----> 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)

$y=0.09(350)+57$

$y=\$88.5$