Answer in detail

Question

A car rental company has two rental rates. Rate 1 is $42 per day plus $.14 per mile. Rate 2 is $84 per day plus $.07 per mile. If you plan to rent for one day, how many miles would you need to drive to pay less by taking Rate 2?

Answer 1

42 +.14m = 84 +.07m

.14m - .07m = 84-42

.07m = 42

m = 42/.07 = 4200/7 = 600 miles

For one day:

Rate 2 is cheaper, if you drive more than 600 miles

the costs are the same under either Rate 1 or 2, if you drive exactly 600 miles

Rate 1 is cheaper if you drive less than 600 miles