Question

Algebra 2 Heeelllpppp!!!!

A rental car agency charges $14 per day plus 12 cents per mile to rent a certain car. Another agency charges $20 per day plus 8 cents per mile to rent the same car. How many miles per day will have to be driven for the cost of a car from the first agency to equal the cost of a car from the second agency?

This is a review for a test so i really need to understand how to do this.

Answer 1

@texaschic101

Answer 2

first agency :
charges $ 14 per day + 12 cents per mile (m) ---- 14 + 0.12m

2nd agency :
charges $ 20 per day + 8 cents per mile ---- 20 + 0.8m

now we set them equal and solve for m to find out how many miles will make the car agencies charge the same.

14 + 0.12m = 20 + 0.08m -- subtract 14 from both sides
0.12m = 20 - 14 + 0.08m -- subtract 0.08m from both sides
0.12m - 0.08m = 20 - 14 -- combine like terms
.04m = 6 -- divide both sides by .04
m = 150

check..
14 + 0.12m = 20 + 0.08m
14 + 0.12(150) = 20 + 0.08(150)
14 + 18 = 20 + 12
32 = 32 (correct)

Both agencies will cost the same when 150 miles are driven