Question

Mabel is comparing the prices of two car rental companies. Company A charges $35 per day and an additional $15 as service charges. Company B charges $42 per day and an additional $10 as service charges.
Part A: Write an equation to represent each company's total charges for renting a car for a certain number of days. 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 car for 6 days? 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 car for 10 days? (3 points)

Answer 1

Company A : C = 35D + 15....C is total cost and D is number of days
company B : C = 42D + 10...C is total cost and D is number of days
================
which company charges less for renting for 6 days
company A : 
C = 35(6) + 15 = 225

company B :
C = 42(6) + 10 = 262

so company A charges less when renting for 6 days
=================
for 10 days...
company A :
C = 35(10) + 15 = 365

company B :
C = 42(10) + 10 = 430

so there would be (430 - 365) = 65 saved when using company A instead of company B