Question

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 0.75m+5=0.5m+9 find out after how many miles, m, the companies will charge the same amount . Use gabis equation to find out after how many miles , m, the companies will charge the same amount.

Answer 1

0.75m + 5 = 0.5m + 9
0.75m - 0.5m = 9 - 5
0.25m = 4
m = 4 / 0.25
m = 16 <=== at 16 miles, the companies will charge the same amount

Answer 2

16 miles.

Explanation:

To solve our given problem, we need to solve the given equation
`0.75m+5=0.5m+9`, where m represents number of miles.

`0.75m-0.5m+5=0.5m-0.5m+9`

`0.25m+5=9`

`0.25m+5-5=9-5`

`0.25m=4`

`(0.25m)/(0.25)=(4)/(0.25)`

`m=16`

Therefore, after 16 miles both companies will charge the same amount.