Question

Lucy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $53 and costs an additional $0.09 per mile driven. The second plan has an initial fee of $42 and costs an additional $0.13 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?

Answer 1

The amount driven would be 275, and the cost for both plans will be 77.75$

Explanation:

make both equations

y=0.09x+53

y=0.13x+42

set them equal to each other and solve for x to get the distance

take that number and put it in one equation and solve for y to get the price of the plan for that value