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.