When a breeding group of animals is introduced into a restricted area such as a wildlife reserve, the population can be expected to grow rapidly at first, but to level out when the population grows to near the maximum that the environment can support. Such growth is known as logistic population growth, and ecologists sometimes use a formula to describe it. The number N of deer present at time t (measured in years since the herd was introduced) on a certain wildlife reserve has been determined by ecologists to be given by the function below. (Round your answers down to the nearest whole number.) N =
12.39
0.01 + 0.56t

(b) Calculate N(12).
N(12) =
412

Incorrect: Your answer is incorrect.
deer

Explain the meaning of the number you have calculated.
After 12 years, there should be about 12 deer in the reserve.
After 12 years, there should be about 1119 deer in the reserve.
After 12 years, there should be about 1131 deer in the reserve.
After 12 years, there should be about 1143 deer in the reserve.

(c) Express the number of deer present after 17 years using functional notation.
N

Calculate the number of deer present after 17 years.
deer

(d) How much increase in the deer population do you expect from the 12th to the 17th year?
deer