The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $22 for each room.

(a) Write a direct variation equation to represent the cost.

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

(c) Suppose the hotel plans to tip the carpet cleaners $40, how many rooms can the hotel get cleaned for $200 now? Write and solve an equation.

Question

11 March, 10:24

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Steve Ponce · Answer 1

22 X = Y

x = number of rooms cleaned

Y = cost

200/22 = 9.09 > 9 rooms

160/22 = 7.25 > 7 rooms