Question

The number of visitors to an art museum increases each year. The function V(t) = N(1 + r)t represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase. Select the correct statement.

A. The number of visitors is multiplied by (1+r) each year
B. The value of V is the product of N, (1=r), and t.
C. The function is linear.
D. r must be greater than 1.

Answer 1

Answer: the number of visitors is multiplied by ( 1 +r) each year

Explanation:

Answer 2

Option A - The number of visitors is multiplied by (1+r) each year

Explanation:

Given : The number of visitors to an art museum increases each year. The function
`V(t) = N(1 + r)^t` represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase.

To find : Select the correct statement?

Solution :

We have given an exponential function,

The function
`V(t) = N(1 + r)^t` represents the number of visitors to the museum at year t, where N is the number of visitors in year 0 and r is the rate of increase.

As In year 0,

The initial visitors is
`V(t) = N(1 + r)^0=N`

In year 1,

`V(t) = N(1 + r)^1=N(1+r)`

In year 2,

`V(t) = N(1 + r)^2`

So, According to this the number of visors is multiplied by (1+r) each year.

Therefore, Option A is correct.