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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 :

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

Step-by-step explanation:

1. Since, given function, [tex]n(d)= 4\times 3^{d-1}[/tex]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, [tex]n(1)= 4\times 3^{1-1}=4[/tex]

In Second day d=2 so number of people, [tex]n(2)= 4\times 3^{2-1}=3\times 4[/tex]

In third day d=3 so number of people, [tex]n(3)= 4\times 3^{3-1}=3\times 12[/tex]

In fourth day d=4 so number of people, [tex]n(4)= 4\times 3^{4-1}=3\times 36[/tex]

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.


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