Jose is comparing the prices of two carpet cleaning companies. Company A charges $0.40 per square foot of carpet area and an additional $22 per day for services. Company B charges 0.60 per square foot of carpet area and an additional $18 per day for services.

Part A: Write equations to represent Company A and Company B's total charges for cleaning a certain carpet area in a day. Define the variable used in the equations. (4 points)

Part B: Which company would charge less for cleaning 500 square feet of carpet area? Justify your answer. (3 points)

Question

Jose is comparing the prices of two carpet cleaning companies. Company A charges $0.40 per square foot of carpet area and an additional $22 per day for services. Company B charges 0.60 per square foot of carpet area and an additional $18 per day for services.

Part A: Write equations to represent Company A and Company B's total charges for cleaning a certain carpet area in a day. Define the variable used in the equations. (4 points)

Part B: Which company would charge less for cleaning 500 square feet of carpet area? Justify your answer. (3 points)

lena772 · Answer

Part C: How much money is saved by using the services of Company A instead of Company B for cleaning 200 square feet of carpet area? (3 points)

lena772 · Answer

@ganeshie8

ranga · Answer

Let x represent the square foot of carpet area to be cleaned and y the cost.

Company A:  y = 0.4x + 22

Company B:   y = 0.6x + 18

ranga · Answer

For part b) put x = 500 in both equations and see which company would charge less.

ranga · Answer

yes.

ranga · Answer

No.  For c) they changed the carpet area to 200 square foot.  You are using the numbers from 500 square foot calculations.
Put x = 200 in both equations, find the cost and find the difference.

ranga · Answer

yes.