Question

can someone help me with equations?

Answer 1

sure,

Answer 2

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 and Company B's total charges for cleaning a certain carpet area in a day. Define the variable used in the equations

can you help me with part A?

Answer 3

@electrokid can you help me?

Answer 4

let say \(C_A\) is the total charge of company A; x is number of square foot of the carpet; y is number of day for services
\(C_A = 0.40*x+22*y\)
you can do the same with company B
I think so, hopefully it is not wrong.

Answer 5

@agent0smith check mine, friend. I am not sure about it, hehehe

Answer 6

@DemolisionWolf prof, check mine.

Answer 7

@Loser66 yes, that is the same equation i would use.

Answer 8

@Loser66 @DemolisionWolf do one of you guys mind helping me with part a and b?

Answer 9

I mean part b and c* sorry

Answer 10

ya, what is part b?

Answer 11

Part B: Which company would charge less for cleaning 500 square feet of carpet area? Justify your answer. @DemolisionWolf

Answer 12

ok, for this question we will have to use the equations we got for part a, do you have those?

Answer 13

yes @DemolisionWolf

Answer 14

ok,
so what you will want to do is plug in 500 in the to variable that stands for 'square feet' in your equation, and plug in 1 for the variable that stands for days
do this to both equations and tell me what you get for the answers

Answer 15

can i do this with a calculator? and what do i put? im sorry im rlly bad in math this is my first year of highschool

Answer 16

no problem, i'll do the first one and you can copy me for the second equation:
CA=0.40∗x+22∗y
remember x stands for 'square feet'
y stands for 'days'
so,
CA=0.40*500+22*1
CA= $222
so company A will charge me $222 dollars to clean a 500sq ft room in 1 day

Answer 17

can you try company B?

Answer 18

yes ok i will try 1 second

Answer 19

ok so 0.60*500+18*1 =318?

Answer 20

am i right? @DemolisionWolf

Answer 21

ya you got it!

on to part c?

Answer 22

yay :)! so for part B i put the equation i answered?

and 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?

Answer 23

also what do i put for part A? do i put what loser66 put? @DemolisionWolf

Answer 24

"yay :)! so for part B i put the equation i answered?

part B asks, which company charges less for cleaning 500 square feet

so from the answers of $222 and $318, which company will charge less? [this is the answer for B]

Answer 25

and for part B, say the reason is becuase one company charges 222 dollars and the other charges 318 dollars

Answer 26

"also what do i put for part A? do i put what loser66 put?"

you will want to put the two equations you made, Loser66 did one of the equations, and you did the other, put those in for the answer to part A

Answer 27

"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?

for part c do the exact same thing as we did for part b, but use 200 not 500 this time. then subtract the cost of company B from company A, and that will be the answer to part C

Answer 28

okay im going to go do that and then ill let you know the answer i get for part c

Answer 29

great :)

Answer 30

so the answer is 102? @DemolisionWolf

Answer 31

CB= 0.60*200-18*1 = 102?

CA= 0.40*200-22*1= 58

@DemolisionWolf

Answer 32

you were close, don't subtract the 18*1 and don't subtract the 22*1, add them right now, then we will subtract later in the next step
CB= 0.60*200+18*1 = ?
CA= 0.40*200+22*1= ?

Answer 33

CB= 0.60*200+18*1 = 138

CA= 0.40*200+22*1= 102

Answer 34

am i right @DemolisionWolf

Answer 35

yes, now we will subtract-
company A - Company B = answer so,
102-138 = -36
so that means using company A and not Company B for cleaning the carpet we will have to pay 36 dollars more. [answer]

Answer 36

i'm logging off,
happy halloween!