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Amy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $38 and costs an additional $0.12 per mile driven. The second plan has an initial fee $51 of and costs an additional 0.08 per mile driven.


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

What is the cost when the two plans cost the same?

Respuesta :

Pipsqeak1

Answer:

325 miles and 77 dollars

Step-by-step explanation:

First, create equations. Let x equal the miles driven. The first plan expression  is 38 + 0.12x and the second plan expression is 51 + 0.08x. Setting these equal and solve for x: 38 + 0.12x = 51 + 0.08x -> 0.04x = 13 -> x = 325 miles.

The cost is found by substituting it into any of the expressions: 51 + 0.08(325) = 77 or 38 + 0.12(325) = 77

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