Answer:
The charges will be the same after 10 miles.
Step-by-step explanation:
Long Beach Towing Company:
Charges $40 plus $5 per mile. So after x miles, the charge will be of:
[tex]L(x) = 40 + 5x[/tex]
Five-Star Towing Company:
Chargers of $70 plus $2 per mile. So after x miles, the charge will be of:
[tex]F(x) = 70 + 2x[/tex]
After how many miles the charges for the two companied will be the same?
This is x for which:
[tex]L(x) = F(x)[/tex]
So
[tex]40 + 5x = 70 + 2x[/tex]
[tex]5x - 2x = 70 - 40[/tex]
[tex]3x = 30[/tex]
[tex]x = \frac{30}{3}[/tex]
[tex]x = 10[/tex]
The charges will be the same after 10 miles.
