Question

PLEASE HELP!!!!1111!!

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)

Answer 1

A.
m=number of matresses
A=13+30m
B=15+28m

B.
for 4 mattresses
sub,, find where m=4
A=13+30(4)=13+120=133
B=15+28(4)=15+112=127
company B charges less to clean 4 mattresses

C.
7 mattresses
find at m=7
A=13+30(7)=13+210=223
B=15+28(7)=15+196=211
223-211=12
saved $12 by using B instead of A to clean 7 mattresses