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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.

User J K
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2 Answers

1 vote

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

Explanation:

User Erivan
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1 vote

Answer:

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.

User Rob Cowie
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