Gabi wants to drive to and from the airport. she finds two companies near her that offer short-term car rental service at different rates and then sets up the equation 0.22m+7.20=0.1m+8.40 to find out after how many miles, m, the companies will charge the same amount. what is the difference in per-mile costs for the two companies?

The difference in per-mile costs for the two companies is $0.12

Step-by-step explanation:

Gabi sets up the equation to find out after how many miles, m, the companies will charge the same amount.

The first company charges for m miles driven.

The second company charges for m miles driven.

In both these functions, numbers 7.20 and 8,40 represent the initial fee the companies charge.

Numbers 0.22 and 0.1 represent per-mile costs.

Thus, the difference in per-mile costs is

Another way to solve this problem is to find the cost per mile driven for each company:

1. Cost per-mile 1st company

2. Cost per-mile 2nd company

3. Difference: