Maya will rent a car for the weekend. she can choose one of two plans. the first plan has an initial fee of $53 and costs an additional $0.11 per mile driven. the second plan has an initial fee of $42 and costs an additional $0.13 per mile driven.

me

The two plans cost the same for 550 miles of driving  and $113.5 is the total cost.

Step-by-step explanation:

This problem is about linear equations. We assume Maya drive X miles, and the total cost is $Y, then we can get like, the first plan has an initial fee of $53 and costs an additional $0.11 per mile driven

              For plan 1:  Y = 53 + 0.11 X

The second plan has an initial fee of $42 and costs an additional $0.13 per mile driven,

               For Plan 2: Y= 42 + 0.13 X

When both plans cost the same, then

               Plan 1 = Plan 2

               53 + 0.11 X = 42 + 0.13 X

               0.13 X - 0.11 X = 53 - 42

                0.02 X = 11

Put the value of X in equation of Plan 1, we get,

      Y = 53 + 0.11(550) = 53 + 60.5= $113.5