Question

Plz help!!!

1. The function n(d) = 4 • 3d – 1 represents the number of people who receive a newspaper on day d in a delivery schedule.
What does the value 3 represent in this situation?

a) Deliveries were made for 3 days.

b) There are 3 people making deliveries.

c) Three people received a newspaper on the first day in the schedule.

d) The number of people receiving a newspaper on a given day is 3 times what it was the previous day.

2. The function V = Bh gives the volume of a cylinder whose base has an area of B square units and whose height is h units.
Which function can be used to determine the volume of a cylinder with a height of 10 cm, given the area of the cylinder’s base?
a) V(h) = 10

b) V(B) = 10

c) V(h) = 10h

d) V(B) = 10B

Answer 1

Answer: 1. d) The number of people receiving a newspaper on a given day is 3 times what it was the previous day.

2.d) V(B) = 10B

Explanation:

1. Since, given function,
`n(d)= 4* 3^(d-1)`Which is defined the number of people who receive a newspaper on day d in a delivery schedule.

In first day d=1 so number of people,
`n(1)= 4* 3^(1-1)=4`

In Second day d=2 so number of people,
`n(2)= 4* 3^(2-1)=3* 4`

In third day d=3 so number of people,
`n(3)= 4* 3^(3-1)=3* 12`

In fourth day d=4 so number of people,
`n(4)= 4* 3^(4-1)=3* 36`

Thus from the above explanation, we can say that everyday the number of newspaper are increasing by 3 times of the previous day.

Therefore, Option D) is correct.

2.Here, The function V = Bh gives the volume of a cylinder whose base has an area of B square units and whose height is h units.

If h= 10

Then V= 10B

Therefore V is dependent on the value of B

Thus, Required volume, V(B)= 10B

So, Option D) is correct.