a)Direct variation equation: C=22N
b) Number of rooms that will get cleaned for $200 = 9
c) If the hotel plans to tip the carpet cleaners $40, the number of rooms that will get cleaned for $200 = 7
let us say the cost of the carpet cleaning company is C
while the number of rooms is N
The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.
a) it is given that
cost ∝ Number of rooms
C∝N
C= kN.......(1)
where k is a constant of proportionality.
b)It is given that cost is $22 for each room
put C=$22 and N=1 in equation (1)
So,
k= 22/1 = 22
equation (1) becomes
C=22N
So,
number of rooms a hotel can pay the company to clean for $200 will be
N = C/22 = 200/22 = 9 rooms approx.
c) if the hotel plans to tip the carpet cleaners $40
the total amount that will be considered as a charge will be 200-40= $160
so,
numbers of rooms hotel get cleaned = 160/22 = 7 rooms approx.
therefore,
a)direct variation equation: C=22N
b) number of rooms that will get cleaned for $200 = 9
c) if the hotel plans to tip the carpet cleaners $40, the number of rooms that will get cleaned for $200 = 7
to get more about the constant of proportionality refer to:
https://brainly.com/question/1835116
