Between to rental car companies, with a daily rate and per mile charge, what number of daily miles is the second company cheaper?

Question

A rental car company rents a car for $25.24 per day plus .48 per mile.  A second rental car company rents the same car for $42.51 per day plus .37 cents per mile.  For what number of daily miles is the second rental car company cheaper?

Answer 1

Let x = number of miles driven

 

cost of renting from the first company = 0.48x + 25.24

cost of renting from the second company = 0.37x + 42.51

 

The cost of the second company is cheaper if

       0.48x + 25.24 > 0.37x + 42.51

 

                     0.11x > 17.27

 

                             x > 157 miles

 

The cost of the second company is cheaper if the car is driven more than 157 miles.