Question

Question 1)

The function g is defined by g(y)=2y+7
What is the value of g(8)
A)35
B)23
C)17
Question 2)
You are at a concert and the seating area is shown below. Using a standard rule of thumb, estimate the attendnce (to the nearest whole person)
(See Image)
A)367,500 People
B)245,000 People
C)183,750 People
D)147,000 People

Question 3)
You are at a concert and the seating area is shown below. Suppose you think each person takes up 2 square feet, estimate the attendance (to the nearest whole person)
(See Image)
A)367,500 People
B)245,000 People
C)183,750 People
D)147,000 People

Answer 1

1. Option B.

2. Option D.

3. Option C.

Explanation:

(1)

The given function is

`g(y)=2y+7`

Substitute y=8 to find the value of g(8).

`g(8)=2(8)+7=16+7=23`

The value of g(8) is 23. Therefore, the correct option is B.

(2)

Area of a rectangle is

`Area=length* width`

From the given figure it is clear that the length of the seating area is 700 ft and width of the seating area is 525 ft.

The total seating area is

`Area=700* 525`

`Area=367500`

The seating are is 367500 ft².

According to the “rule of thumb,” circulation Area comprises roughly 25 to 40% of the total Usable Area.

40 % of total area is

`367500* (40)/(100)=147000`

Using a standard rule of thumb the attendance is 147,000 People.

Therefore, the correct option is D.

(3)

Each person takes up 2 square feet. Then the total number of persons is

`People=(367500)/(2)`

`People=183750`

Therefore, correct option is C.

Answer 2

ANSWER TO QUESTION 1

Just substitute


`y=8` in to
`g(y)=2y+7`

That means everywhere we see


`y` we replace it with
`8`.

This gives us,


`g(8)=2(8)+7`


`g(8)=16+7`


`g(8)=23`

The correct answer is B

ANSWER TO QUESTION 2

We first find the area of the sitting area.

From the diagram, the sitting area has the following dimension.


`Length=700ft`

and


`Width=8ft`.

Since the sitting area is rectangular in shape, we use the formula for finding the area of area of a rectangle.

That is ,


`A=lw`.

We substitute the dimension to obtain,


`A=525* 700`


`\Rightarrow A=367,500ft^2`

Since each person occupies 2 square feet, we divide by 2


`A=183,750`

The correct answer is C


ANSWER TO QUESTION 3.

The question 2and 3 are the same.