Question

Jina will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $49.98 and costs an additional $0.15 per mile drive

The second plan has an initial fee of $43.98 and costs an additional $0.19 per mile driven. How many miles would Jina need to drive for the two plans to cost the same?

Answer 1

150 miles

Explanation:

Jina wants to know the number of miles driven that would make the cost of two rental plans the same. One costs $0.15 per mile plus $49.98; the other costs $0.19 per mile plus $43.98.

Difference in costs

The difference in cost between the to plans for m miles driven is zero when ...

(0.15m +49.98) -(0.19m +43.98) = 0

-0.04m +6.00 = 0 . . . . . . . . simplify

m -150 = 0 . . . . . . . . . . . . divide by -0.04

m = 150 . . . . . . . . . . . . . add 150

Jina would need to drive 150 miles for the two plans to cost the same.