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's 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

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's 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

anonymous · 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

anonymous · Answer

@perl may you help me if you have a chance or @amistre64

amistre64 · Answer

what do you consider for our equations?

anonymous · Answer

what do you mean?

amistre64 · Answer

it gives you information and asks you to write some equations, what have you considered?

anonymous · Answer

i am asking help to each of the part a, b, c

amistre64 · Answer

right, and im asking you to think critically about the setup to determine how much thought you have already put into it.

anonymous · Answer

you are asking for me to try to make the equation?

amistre64 · Answer

yes

anonymous · Answer

ok

anonymous · Answer

Part A:Company A:y = 0.4x+22
B: y = 0.6x+18

anonymous · Answer

is that correct I tried???

amistre64 · Answer

those are very good

amistre64 · Answer

now for part b, what do you think we should do?

anonymous · Answer

put x = 500 in both equations?

amistre64 · Answer

correct, and then process the results

amistre64 · Answer

now C is similar to B, except once we know the results, we find the differnce between A and B

anonymous · Answer

ok

amistre64 · Answer

if you type in your results, i can verify them for you.

anonymous · Answer

ok hold on

anonymous · Answer

that is the part I am confused about though

amistre64 · Answer

part B

what is .4(500)+22?
what is .6(500)+18?

amistre64 · Answer

part C

if    A = .4(200) + 22
and B = .6(200)+18

what is B-A?

anonymous · Answer

Part B: Company A answer is 222 Comay B answer is 318

amistre64 · Answer

im getting that for partB as well

amistre64 · Answer

now do the same in part C, but use 200 for x instead

anonymous · Answer

ok