A rental car company charges exist98 per week and exist024 p

A rental car company charges exist98 per week and exist0.24 per mile or exist48 per week and exist032 per mile. How many miles per week must a customer drive to make the second option the equivalent or better choice?

Solution

Total amount by the second option should be lower than first option

total is given by:

A.

98 + 0.24*x

B.

48 + 0.32*x

given that

A >= B

98 + 0.24*x >= 48 + 0.32*x

50 >= 0.08*x

x =< 50/0.08 = 625 miles