Question

PLEASE HELP ASAP

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

⦁ Write a direct variation equation to represent the cost.

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

⦁ 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

Answer:

see below

Step-by-step explanation:

Let y = the total cleaning cost

Let x = the number of roots cleaned.

Therefore, if the cost is $22 per room,  y = 22x

200 = 22x

Divide both sides by 22:  9 $\frac{2}{22}$ = x

Therefore, 9 rooms can be cleaned for $200

New equation:  y = 22x + 40

200 = 22x + 40

Subtract 40 from each side:  160 = 22x

Divide both sides by 22:  7 $\frac{6}{22}$ = x

Therefore, 7 rooms can be cleaned for $200 if the carpet cleaners receive a $40 tip