Question

Rent-Me Rent-A-Car charges $25.00 per day plus $0.14 per mile to rent an 1 point

economy car. Better Deal Rental Car charges $23.00 per day plus $0.18 per
mile for the same type of car. For how many miles will a car rented from
either company cost the same amount? Enter your answer as a number
only. *

Answer 1

50 miles

Explanation:

Let the number of miles driven by each car by represented by x

Rent-Me Rent-A-Car charges $25.00 per day plus $0.14 per mile to rent an economy car.

Hence,

$25.00 + $0.14x .......Equation 1

Better Deal Rental Car charges $23.00 per day plus $0.18 per mile for the same type of car

Hence,

$23.00 + $0.18x...Equation 2

To calculate how many miles will a car rented from either company cost the same amount, we Equate both equations together

Equation 1 = Equation 2

$25.00 + $0.14x = $23.00 + $0.18x

Collect like terms

$25.00 - $23.00 = $0.18x - $0.14x

$2.00 = $0.04x

Divide both sides by $0.04

x = $2.00/$0.04

x = 50 miles

Therefore, a car rented from either company cost the same amount for 50 miles