Question

Maria is comparing the prices of two window cleaning companies. Company A charges $6 per window and an additional $12 as service charges. Company B charges $5 per window and an additional $15 as service charges.

Part A: Write an equation to represent each company's total charges for cleaning a certain number of windows. For both equations (one for Company A and one for Company B), define the variable used. (4 points)

Part B: Which company would charge less for cleaning 8 windows? 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 6 windows? (3 points)

Answer 1

A.
y=mx+b
m=slope or price per unit of x
b=initial value or y intercept or fixed value



so
company A is 6 dollar per unit of window and a fixed value of 12 so
A=6x+12 when A=amount you need to pay and x=number of windows washed

company B is 5 dollar per unit of window and a fixed value of 15 so
B=5y+15 where B=amount you need to pay and y=number of windows



B.
8 windows
A=6(8)+12=48+12=60
B=5(8)+15=40+15=55
60>55
company B would cost less because 55<60


C. 6 windows
A=6(6)+12=36+12=48
B=5(6)+15=30+15=45
48-45=3
$3 are saved