2. 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

19 February, 23:02

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Clare Bender · Answer 1

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

Mario Johns · Answer 2

(a) y=22x

(b) 200=22x

9.09=x (round down to whole number)

9=x

(c) 200=22x+40

160=22x

7.27=x (round down)

7=x