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Natalija [7]
3 years ago
14

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)
Mathematics
2 answers:
rewona [7]3 years ago
8 0
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.
finlep [7]3 years ago
6 0
<h2>Answer:</h2>

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.

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<h3>Answer:</h3>
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<h3>Step-by-step explanation:</h3>

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The second attachment shows my synthetic division. The first division takes out the root x=3 to give a quotient of x³ +3x² +3x +2. The second division takes out the root -2 to give the quotient of x² +x +1. (You can see that I tried -1 as a root first.)

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<em>Comment on terminology</em>

"root" and "zero" are essentially the same thing when the function is equated to zero, as here. The terms refer to the value(s) of x that make the polynomial function evaluate to zero.

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kasjdjjaskdsksdjdj

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