Martina will rent a car for the weekend. she can choose one of two plans. the first plan has an initial fee of $54 and costs an additional $0.15 per mile driven. the second plan has an initial fee of $59 and costs an additional $0.10 per mile driven. for what amount of driving do the two plans cost the same?

100 miles

Step-by-step explanation:

Let

x ----> the number of miles driven

y ---> the total cost

we know that

The linear equation in slope intercept form is equal  to

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value

In this problem we have

First Plan

The slope is equal to

The y-intercept is

so

The linear equation is

-----> equation A

Second Plan

The slope is equal to

The y-intercept is

so

The linear equation is

-----> equation B

To find out for what amount of driving do the two plans cost the same, equate equation A and equation B

solve for x

Find the cost

for x=100 miles  

substitute in equation A or equation B (the cost is the same)

i think the answer is .36

step-by-step explanation:

what i did was only 2.88 divided by 8