Question

A car rental agency charges $30.00 per day plus per mile $0.15. Another car rental charges $36.00 per day plus per mile $0.10. How many miles would they have driven in a day for both rental agencies to cost the same amount?

Answer 1

Answer:

120 miles.

Step-by-step explanation:

Agency A: $30.00 + $0.15 × m

Agency B: $36.00 + $0.10 × m

30 + 0.15m = 36 + 0.1m

(0.15 - 0.1)m = 36 - 30

0.05m = 6 ⇒ m = 6 ÷ 0.05 = 120 miles

It does not matter what agency to choose, if a renter plan to drive 120 miles.