Question

Taylor is comparing the prices of two mattress cleaning companies. Company A charges $30 per mattress and an additional $15 as service charges. Company B charges $28 per mattress and an additional $21 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.

Part B: which company would charge less for cleaning 6 mattresses? Justify your answer.

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

Answer 1

part A:

company a

30m+15

m= matress

company b

28m+21

m=matresses sold

part B:

company a

30(6)+15

195$

company b

28(6)+21

189$

company B charges less

part C:

company a

30(3)+15

105$

company b

28(3)+21

105$

there is no change at all so you do not save anything.