Question

A rental car agency charges $30.00 per day

plus per mile $0.15. Another rental car
agency charges $36.00 per day plus $0.10
per mile. How many miles would have to be
driven in one day for both rental agencies
to cost the same amount to rent?​

Answer 1

They should travel 120 mils in one day for both rental agencies to cost the same amount to rent

Explanation:

A rental car agency charges $30.00 per day plus per mile $0.15.

Let x be the number of miles travelled by car

Their total cost = 30 + (0.15x) ... (1)

Another rental car agency charges $36.00 per day plus $0.10 per mile

Their total cost = 36 + (0.10x) ... (2)

Equating (1) and (2), we get

30 + (0.15x) = 36 + (0.10x)

36 - 30 = 0.15x - 0.10x

6 = 0.05x

x = 120 miles

They should travel 120 mils in one day for both rental agencies to cost the same amount to rent