Question

Use this scenario: A truck rental agency offers two kinds of plans. Plan A charges
$75/wk plus $.10/mi driven. Plan B charges $100/wk plus $.05/mi driven. Use x
for the number of miles driven.

(iii) Find the number of miles that would generate the same cost for both plans.

Answer 1

we conclude that for 500 miles, both plans will have the same cost.

For how many miles both plans have the same cost?

Plan A charges a fixed amount of $75, plus $0.10 per mile, so if you drive x miles, the cost equation is:

A(x) = $75 + $0.10*x

For plan B we will have the similar equation:

B(x) = $100 + $0.05*x

The cost is the same in both plans when:

A(x) = B(x)

So we need to solve the linear equation:

$75 + $0.10*x =  $100 + $0.05*x

$0.10*x - $0.05*x = $100 - $75

$0.05*x = $25

x = $25/$0.05 = 500

So we conclude that for 500 miles, both plans will have the same cost.

If you want to learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1