Question

Joe will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $51.98 and costs an

additional $0.17 per mile driven. The second plan has an initial fee of $59.98 and costs an additional $0.13 per mile driven. How
many miles would Joe need to drive for the two plans to cost the same?

Answer 1

200

Explanation:

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

Plan I: Y=51.98+0.17X

Plan II: Y=59.98+0.13X

When both plans cost the same, 51.98+0.17X=59.98+0.13X. We will get X = 200