Question

Marlow is comparing the prices of two truck rental companies. Company A charges $3 per hour and an additional $75 as service charges. Company B charges $2 per hour and an additional $85 as service charges. Part A: Write an equation to represent each company's total charges for renting a truck for a certain number of hours. For both equations (one for Company A and one for Company B), define the variable used. (4 points) Part B: Which company would charge less for renting a truck for 5 hours? Justify your answer. (3 points) Part C: How much money is saved by using the services of Company A instead of Company B to rent a truck for 3 hours? (3 points)

Answer 1

Part A: Company A: C = Total Charges and H = Hours. C = 75 + 3H  Company B: C = 85 + 2H Part B: If Company A rented out a truck for 5 hours they would charge $90 (C = 85 + 2 x 5) while company B would charge $95. (C = 75 + 3 x 5) Part C: For three hours, Company A would charge $84 (C = 75 + 3 x 3) and Company B would charge $91 (C = 85 + 2 x 3) Therefore, $7 is saved by choosing Company A.