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

Company A: y=6x+12
Company B: y=5x+15
x is the variable for how many windows they clean.

A:
y=6(8)+12
y=48+12
y=60

B:
y=5(8)+15
y=40+15
y=55

Company B charges less for 8 windows.

A:
y=6(6)+12
y=36+12
y=48

B:
y=5(6)+15
y=30+15
y=45

Company B charges $3 less than Company a to clean 6 windows.