Question

Jake is comparing the prices of two mattress cleaning companies. Company A charges $30 per mattress and an additional $13 as service charges. Company B charges $28 per mattress and an additional $15 as service charges.

Part A: Write an equation to represent each company's total charges for cleaning a certain number of mattresses. 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 cleaning 4 mattresses? Justify your answer. (3 points)

Part C: How much money is saved by using the services of Company B instead of Company A to clean 7 mattresses? (3 points)

Answer 1

A)
y= total charges
x=number of mattresses
Company A: y=$30x+13 Company B: y=$28x+15

B)
plug x=4 into both equations to get
A: y=30(4)+13=$133
B: y=28(4)+15=$127
Company B charges less because 127<133

C)
Plug in 7 for x
A: y=30(7)+13=$223
B: y=28(7)+15=$211
A-B=223-211
=$12 Saved