Question

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.

Answer 1

(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

Answer 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.