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

Company A: y= 30x +15 Company B: y= 28x +21

Company B will be cheaper for cleaning 6 mattresses. y= 30 (6) +15 -> y= 180+15

y=195.    B: y= 28(6) +21 -> y= 168+21 -> y= 189

C: $6 are saved for using company B.