Question

A rental car agency charges $30.00 per day plus $0.15 per mile. Another rental car agency charges $36.00 for the day day plus $0.10 per mile. Which equation can be used to determine how many miles (x) would have to be driven in one day for both rental agencies to cost the same amount to rent?

Answer 1

So the equation will be 30+0.15x=36+0.10x

Explanation:

First

30+0.15x

Second

36+0.10x

Combine the equations.

30+0.15x=36+0.10x

Subtract 0.10x

30+0.15x-0.10x=36+0.10x-0.10x

30+0.05x=36

Subtract 30

30-30+0.05x=36-30

0.05x=6

Divide by 0.05

0.05x/0.05=6/0.05

x=120