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:

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

Step-by-step 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.

Answer 2

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

Step-by-step explanation: