jake is comparing the prices of two mattress cleaning companies. company A charges 30 per matress and an additional 13 as sevice changes. company B charges 28 per matress and an additional 15 as service changes. part A : write equations to represent company a's and company b's total matress cleaning charges for a certian number of matresses .define the variable used in the equations .Part B:which company would charge less for cleaning 4 matresses.Part C:how much money is saved by using the services of company B instead on company A to clean 7 matresses

Question

anonymous · Answer

Hello, welcome to OpenStudy. This is the OpenStudy Feedback section, and I think that your question would be better suited for the Mathematics section. 
openstudy.com/study#/groups/Mathematics
for reference next time.

I help you out anyway though as you are new here.

anonymous · Answer

So, Part A requires to different equations, one for company A, and one for company B.

Company A:
$30 per mattress, + 13 charge
So, we need a variable to represent the total cost, and a variable to represent the number of mattresses. We'll use C for cost, and m for mattress.

C=30m+13

Company B will be very similar, with minor adjustments to the fixed costs.

C=28m+15

anonymous · Answer

Part B requires us to figure out which company will charge less for four mattresses. I can already tell you it will be company B because of the reference in Part C, but let's explain why with mathematical reasoning.

We'll plug 4 in for m because m represents the number of mattresses. 

C=30(4)+13
C=120+13
C=133

C=28(4)+15
C=112+15
C=127

So, company B is cheaper when cleaning 4 mattresses.

anonymous · Answer

Part C requires us to find the difference in price between the companies if they were to each clean 7 mattresses. 

C=30(7)+13
C=210+13
C=223
------------
C=28(7)+15
C=196+15
C=211

It wants to know how much is saved, so

223-211=12

So, $12 was saved by using company B.

anonymous · Answer

Feel free to tag me @OrangeMaster if you don't understand a part of the solution. @kayla254

kayla254 · Answer

OMG THANKYOU SO MUCH @OrangeMaster

anonymous · Answer

My pleasure. :)

kayla254 · Answer

@OrangeMaster  i have one more question please help ,

PartA; solve -np-80<60 for n . show work please 

PartB: solve 2a -5d=30 for D.show how you got the answer

anonymous · Answer

If you'd like to close this question, and open your two new questions in the mathematics section. I'd be glad to help :)

kayla254 · Answer

ok