Question

medal and fan!!!!

Answer 1

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)

Answer 2

Let price be P,
and number of windows cleaned be W.

Let's examine company A's charges.
`6 per window` and a flat charge of 12 as well.

Answer 3

okay

Answer 4

So the total price is 6 for each window, and then 12 more than that.
\(\large\rm P=6W+12\)

Understand how I came up with that equation? :)

Answer 5

wow you are doing multiple questions at once? that is crazy

Answer 6

We can switch these to x's and y's if you prefer.

Answer 7

no its fine

Answer 8

How bout company B?
Can you come up with a similar equation using the same steps I did?
Company B charges `$5 per `window and an `additional $15` as service charges.

Answer 9

b=5w +15

Answer 10

is that right?

Answer 11

\[\large\rm P_A=6W+12\]\[\large\rm P_B=5W+15\]
Ok looks great :)

Answer 12

close?

Answer 13

now what

Answer 14

Ya if you feel more comfortable using A and B for the prices, do that.
That might actually look better ^^\[\large\rm A=6W+12\]\[\large\rm B=5W+15\]For the first question, that takes care of the equations.
Make sure you define your variables as well.

A= total price company A charges to clean W windows.
B= total price company B charges to clean W windows.

Answer 15

is that it for part A?

Answer 16

Yes

Answer 17

A = 6w+12
B = 5w + 15
that is all you have to do for part? or did i leave something out?

Answer 18

A

Answer 19

Yes, you left something out.
I explained it above.
Define your variables. Define what A, B, and W mean.

Answer 20

A= total price company A charges to clean W windows.
B= total price company B charges to clean W windows.

Answer 21

Part B: Which company would charge less for cleaning 8 windows?

This corresponds to W=8.
Plug W=8 into both equations and compare.
Which one is lower? Company A or B?\[\large\rm A=6\color{orangered}{\cdot8}+12\]\[\large\rm B=5\color{orangered}{\cdot8}+15\]

Answer 22

b

Answer 23

A charges 60 dollars to clean 8 windows while
B charges 55 dollars for the same work.

Ok good. :)

Answer 24

Part C: How much money is saved by using the services of Company B instead of Company A to clean 6 windows?

Again, this corresponds to a specific value for W.

Answer 25

It will be the same process as part B, but with one extra step at the end.
So what do you get for company A and B when you plug in W=6?

Answer 26

A = 6.6 + 12 18.6
B = 5.6 + 15 20.6

Answer 27

2 dollars saved

Answer 28

is that right?

Answer 29

No, that dot is not supposed to be a decimal :)
It's multiplication.

Answer 30

oh crap sorry let me re do it

Answer 31

A = 6*6 + 12 48
B = 5*6 + 15 45

3 dollars saved

Answer 32

did i do it right now?

Answer 33

yay good job \c:/

Answer 34

thank you so much for all the help. you are a champion!!!

Answer 35

np \c:/

Answer 36

@zepdrix can you do me a favor and check this to see if i put this in right?

Answer 37

this is the total answer i put down.

Part A:

A= 6w+12
A =5w+15

A is the total price company A charges to clean windows
B is the total price company b charges to clean windows
w = windows

Part B:

Company B
because company A charges 60 dollars to clean 8 windows and company B charges 55 dollars for the same thing.

Part C:

A = 6 multiplied by 6 + 12 48
B = 5 multiplied by 6 + 15 45

3 dollars saved

Answer 38

ya that's probably fine :)

Answer 39

okay thank you again!!!!