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? (3 points)

[Part A]
company A ->  A=30m+13
company B ->  B=28m+15

A=company A
B=company B
m= number of mattresses

[Part B]
Price charged to clean 4 mattresses
company A= $133
company B= $127

Justification
A=30(4)+13                  B=28(4)+15
A=120+13                     B=112+15
A=133                           B=127

Company B would charge less. Even though the y-intercept is higher, the slope has a lower value which makes company A grow at a faster rate.

[Part C]
If you use company B instead of company A to clean 7 mattresses you will save 12 dollars.  The price to clean 7 mattresses with company A is 223 while company B costs 211.

Company A: A=30(7)+13=223
Company B: B=28(7)+15=211