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.

Question

anonymous · Answer

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)

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)

anonymous · Answer

@ranga

ranga · Answer

Let x represent the area of carpet to be cleaned and C represent the total cost of cleaning the carpet.

Company A charges $0.40 per square foot of carpet area and an additional $22 per day.

So the equation for company A is:     C = 0.4x + 22

Company B charges 0.60 per square foot of carpet area and an additional $18 per day.

So the equation for company B is:     C = 0.6x + 18

Those two equations answer part A)

For part B) put x = 500 in each of the above two equations and find the charges for company A and B.  Compare and see which one is lower and that will be your answer.

We will get to C after you answer B.

anonymous · Answer

what do i divide or multiply in part B?

anonymous · Answer

for part A) 500 divided by 0.4 + 22 = 1272?

anonymous · Answer

@ranga

ranga · Answer

No.  For Part A they ask you for the two equations which I answered before:

Answer to Part A):
The equation for company A is: C = 0.4x + 22
The equation for company B is: C = 0.6x + 18
where x represents the area of carpet to be cleaned and C represents the total cost of cleaning the carpet.

anonymous · Answer

im not getting this :/