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.

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

Part C: How much money is saved by using

Answer 1

@dtan5457

Answer 2

company a chages 0.40 per + 22 --> y=0.40x +22 make sense

Answer 3

Make 2 equations here

Answer 4

Company A:

y=0.40x+22

COMPANY B:

y=0.60x+18

Answer 5

x=the amount of square feet of carpet

Answer 6

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

Plug 500 into each x value of each equation and find your output (y)

Answer 7

Can you do that for me?

Answer 8

yes hold on

Answer 9

Got it yet?

Answer 10

Yes i do :D its y=318 @dtan5457

Answer 11

but which company?

Answer 12

this is overall what i wrote for the answer-
Part A-
Company A:
y=0.40x +22

Company B:
y=0.60x+18

x=the amount of square feet of carpet.

Part B-
Company A:
y=0.40x +22
y=0.40(500)+22
y=222

Company B:
y=0.60x+18
y=0.60(500)+18
y=318

Company A would charge less because $222 dollars is less than $318 dollars for company B's services.

Part C-
Company A= $122
Company B= $138
$138-$122= $16
$16 dollars is saved.

Answer 13

318-222=???

Answer 14

For part c

Answer 15

200 sq ft for x in the last one right?

Answer 16

part c is much money is saved.

company a is $222
company b is $318

$318-$222=how much money saved

Answer 17

ohhhh see because i read it as How much money is saved by using the services of Company A instead of Company B for cleaning 200 square feet (not 500) <<<<<< of carpet area?

Answer 18

yes its 500

Answer 19

ohh ok :D thankss