Question

Bill wants to rent a car.Rental Company A charges $35 per day plus $0.10 per mile driven.Rental Company B charges $25 per day plus $0.15 per mile. How many miles driven will the price charged by each company be the same.

Answer 1

m = 200 miles

Explanation:

Rental Co. A: A(m) = $35 + ($0.10/mile)(m), where m is the number of miles driven

Rental Co. B: B(m) = $25 + ($0.15/mile)(m)

Set these two dollar amounts equal to each other and solve for m:

$25 + ($0.15/mile)m = $35 + ($0.10/mile)(m). Combine like terms, obtaining:

($0.05/mile)m = $10; then m = ($10) / ($0.05/mile), or 200 miles.

The price charged by the two companies would be the same when the car has been driven 200 miles.