Can someone help me in this question:( please and thank you.

Question

avis charges a flat rate of $12 and $0.49 a mile. Hertz charges a flat rate of $20 and $0.29 per mile. after how many miles will the charge the same?

Answer 1

The questions asks about the charge being the same for both companies so let's build an equation that models the cost. Let's let "C" be the cost and "m" be the number of miles driven.

For Avis, C = 12 + 0.49m

For Hertz, C = 20 + 0.29m

We want the cost (C) to be the same so we can say "12 + 0.49m" must be the same as "20 + 0.29m" so:

12 + 0.49m = 20 + 0.29m [subtract 0.29m from both sides to get:

12 + 0.20m = 20 [subtract 12 from both sides to get:

0.20m = 8 [divide both sides by 0.20 to get:

m = 40