Question

The cost that a carpet can cleaning company charges is directly proportional to the number of rooms cleaned. The cost to clean 50 rooms is $1,100.

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


B.) Using the equation found in part a, how much would it cost a hotel to have 150 rooms cleaned

Answer 1

Explanation:

The cost that a carpet can cleaning company charges is directly proportional to the number of rooms cleaned. The cost to clean 50 rooms is $1,100.

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

Cost ∝ Number of room

C ∝ N

C = kN

k = Constant of Proportionality

k = C/N

k = 1100/50

k = 220

B.) Using the equation found in part a, how much would it cost a hotel to have 150 rooms cleaned

c = 220 × 150

c = $33000

Cost to clean 150 rooms = $33,000