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

Answer 1

[Part A]

company A                company B
A=3h+75                    B=2h+85

definition of variables
A=company A
B=company B
h=number of hours used

[Part B]
company A would charge less for 5 hours

justification
company A                 company B
A=3(5)+75                   B=2(5)+85
A=15+75                     B=10+85
A=90                           B=90

[Part C]
By using the services of company A instead of company B to rent a truck for three hours you save 7 dollars.
company A:  A=3(3)+75 = 9+75= 84
company B:  B=2(3)+85 = 6+85 = 91
difference: 91-84= 7

Answer 2

Answer:

A)

Company A) would be y = 3x + 75

Company B) would be y = 2x + 85

company A                 company B

A = 3(5) + 75               B = 2(5) + 85

A = 15 + 75                 B = 10 + 85

A = 90                         B = 95

B)

Company A) so that would give us y = $90

Company B) and this would give us y = $95

C)

Company A- in 3 hours you would spend $84

Company B- in 3 hours you would spend $91

so you save $7 by using A instead of B