Question

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.

Please help me

Answer 1

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

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

`X = (11)/(0.02) = 550 \text { miles }`

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

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