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

The answer is in the image 

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

The solution is in the following image

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Salesperson will make 6% of 1800

=(6/100)*1800

=108

Salesperson will make $108 in $1800 sales

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

The answer is in the image 

tip=18% of 75.45

     =18/100 * 75.45 = $13.581

Tip = $13.581

Let the father's age be x and son's be y

10 years before-

Father age=x-10

sons age=y-10

Given,

x-10=10(y-10)

x-10=10y-100

Given present age of father=40

therefore,

x=40

40-10=10y-100

10y-100=30

10y=130

y=130/10

y=13

Therefore present age of son=13years