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

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

The answer is in the image 

The answer is in the image 

The solution is given in the image below

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 

30% of 420 are first year students

first year students = (30/100 )*420

=126 students

Student who are not in first year = 420-126

=294 students  

Given height of gymnasium is 5/6 height of 30 foot ball

therefore height of gymnasium=5/6 * 30

=25 feet

Cost before sale tax=$46.00

Cost after including tax=$48.76

Sale tax=$48.76-46.00

=$2.76

we know,

sale tax=((sales tax rate)/100) * cost before sale tax

2.76=((sales tax rate)/100) *46.00

sale tax rate=(2.76*100)/46

                   =276/46

                    =6%

There fore sales tax rate=6%