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 equations to represent Company A's and Company B's total mattress cleaning charges for a certain number of mattresses. Define the variable used in the equations. (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?

Answer 1

Part A:
x is how many mattresses
y is how much money in total
Company A is (30*x)+13=y 133
Company B is (28*x)+15=y 127
Part B:
Company B because the answer is 127 whereas Company A would charge 133.
Part C:
You would save $12 if you use Company B instead of Company A to buy 7 mattresses.