Question

Tammy will rent a car for the weekend. She can choose one of two plans. The first plan has no initial fee but costs 0.70 per mile driven. The second plan has an initial fee of 65 and costs an additional 0.50 per mile driven. How many miles would Tammy need to drive for the two plans to 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