Question

Yolanda will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $40 and costs an additional $0.70 per mile driven.

The second plan has no initial fee but costs $0.90 per mile driven.
For what amount of driving do the two plans cost the
same?
miles

Answer 1

200 miles

Explanation:

To find the amount of driving where the two plans cost the same, we need to set up an equation and solve for the number of miles driven.

Let's denote the number of miles driven as 'x'.

For the first plan, the cost is given by: $40 + $0.70x (initial fee plus cost per mile).

For the second plan, the cost is given by: $0.90x (cost per mile only).

To find the point where the costs are the same, we equate the two expressions:

40 + 0.70m = 0.90m

40 = 0.90m - 0.70m

40 = 0.20m

40 / 0.20 = m

200 = m

This means the plans will cost the same at 200 miles