Question

Mai will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $59.96 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $71.96 and costs an additional $0.12 per mile driven. How many miles would Mai need to drive for the two plans to cost the same?

Answer 1

600 miles.

Explanation:

So basically we can write both plans as linear functions:

F(x) = $59.96+$0.14 . x

S(x) = $71.96+$0.12 . x

Where F(x) is the first plan, S(x) is the second one and X are the miles driven.

To know how many miles does Mai need to drive for the two plans to cost the same, we equalize both equations and isolate x.

F(x) = S (x)

`$59.96+$0.14.x = $71.96+$0.12.x \\0.14x-0.12x=71.96-59.96\\0.02x=12\\x=12 : 0.02\\x= 600`

Mai has to drive 600 miles for the two plans to cost the same-