Question

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.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

Let c represent the cost and r represent the number of rooms, then
a.) c = 22r

b.) 200 = 22r
r = 200/22 = 9.09 ≈ 9 rooms

c.) 200 - 40 = 22r
r = 160/22 = 7.27 ≈ 7 rooms