Question

11B. Long Beach Towing Company charges $40 plus $5 per mile to

tow a car. The Five-Star Towing Company charges $70 plus $2 per
mile. After how many miles the charges for the two companied will
be the same?

Answer 1

The charges will be the same after 10 miles.

Explanation:

Long Beach Towing Company:

Charges $40 plus $5 per mile. So after x miles, the charge will be of:

`L(x) = 40 + 5x`

Five-Star Towing Company:

Chargers of $70 plus $2 per mile. So after x miles, the charge will be of:

`F(x) = 70 + 2x`

After how many miles the charges for the two companied will be the same?

This is x for which:

`L(x) = F(x)`

So

`40 + 5x = 70 + 2x`

`5x - 2x = 70 - 40`

`3x = 30`

`x = (30)/(3)`

`x = 10`

The charges will be the same after 10 miles.