Question

Scott will rent a car for the weekend. He can choose one of two plans. the first plan has an initial fee of $55 and costs an additional $0.15 per mile driven. The second plan has an initial fee of $46 and costs an additional $0.20 per mile driven.

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

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

Answer 1

This problem is about linear equations. We assume Dale drive X miles, and the total cost is $Y, then we can get:

Plan I: Y=38+0.11X

Plan II: Y=49+0.07X

When both plans cost the same, 38+0.11X=49+0.07X. We will get X = 275miles, and Y=$68.25

Explanation: