Question

The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $25 for each room.

(a) Write an equation to represent the cost. Show your work!

(b) How many rooms can a hotel pay the company to clean for $200? Write and solve an equation. Show your work!

(c) Suppose the hotel plans to tip the carpet cleaners $25. In that case, how many rooms can the hotel get cleaned for $200? Write and solve an equation. Show your work!

Answer 1

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(a) C = 25r      (b) 8 rooms         (c) 7 rooms

Step-by-step explanation:

(a) C=25r

(b) C = 25r

    200 = 25r,

    200/25 = 25r/25

    200/25 = 8

    8 = r, therefore 8 rooms can be cleaned for $200

(c) 200-25 = 25r

   200-25=175, so 175 = 25r, then divide both sides by 25, and you get

   7 = r , so therefore 7 rooms can be cleaned