i just need this last question Milan will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of  $49.96  and costs an additional  $0.15  per mile driven. The second plan has an initial fee of  $57.96  and costs an additional  $0.13  per mile driven. How many miles would Milan need to drive for the two plans to cost the same?​

Respuesta :

Answer:

400 miles

Step-by-step explanation:

Let the total cost of a plan be $T and the number of miles driven be m.

First plan

T= 0.15m +49.96 -----(1)

Second plan

T= 0.13m +57.96 -----(2)

When the two plans cost the same, the value of T in the first plan is equal to that of the second plan.

Equating (1) and (2) together:

0.15m +49.96= 0.13m +57.96

0.15m -0.13m= 57.96 -49.96

0.02m= 8

m= 8 ÷0.02

m= 400

∴ Milan would need to drive 400 miles for the two plans to cost the same.

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