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 equations to represent Company A's and Company B's total charges for cleaning a certain number of windows. Define the variable used in the equations. (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) (10 points)

Answer 1

Part A Answer: Company A: (Wx6)+12 Company B: (Wx5)+15 The varible used was W because windows start with a W i chose this as the variable because it is for the certain NUMBER of windows. Part B:Company A: 8x6=48+12=$70 for 8 windows and service charges. Company B:8x5=40+15=$55 for 8 windows and service charges. Company B would charge less for 8 windows. Part C:My work for Company A: 6x6=36+12=$48 for 6 windows and service charges My work for Company B: 6x5=30+15=$45 for 6 windows + service charges $48-$45=$3 Answer for Part C: $3 would be saved by using the services of Company B instead if Company A to clean 6 windows.

Answer 2

Part A:

Let 'x' be the number of windows cleaned.

Let 'y' be the total cost of cleaning 'x' windows.

Company A charges $6 per window and an additional $12 as service charges. So equation becomes
`y=6x+12`

Company B charges $5 per window and an additional $15 as service charges. So equation becomes
`y=5x+15`

Part B :

Cost for cleaning 8 windows.

Company A =
`y=6(8)+12` =$60

Company B =
`y=5(8)+15` =$55

Company B charges less for 8 windows.

Part C:

Cost for cleaning 6 windows.

Company A =
`y=6(6)+12` =$48

Company B =
`y=5(6)+15` =$45

Money saved by using company B is
`48-45=3` dollars.