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

Step-by-step 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

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680