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?

600 miles.

Step-by-step 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)

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

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a