breeding group 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. (Give your answers correct to the nearest whole number.) 12.39 N= 005 +0.52 (a) How many deer were initially on the reserve? deer (b) Calculate N(6). deer Explain the meaning of the number you have calculated. O After 6 years there should be about 12 deer in the reserve. After 6 years there should be about 166 deer in the reserve. o After 6 years there should be about 178 deer in the reserve. O After 6 years there should be about 189 deer in the reserve. (c) Express the number of deer present after 11 years using functional notation, and then calculate it. deer

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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. (Give your answers correct to the nearest whole number.)
12.39
N =
0,05 + 0,52
(a) How many deer were initially on the reserve?
deer
(b) Calculate N(6).
deer
Explain the meaning of the number you have calculated.
o After 6 years there should be about 12 deer in the reserve.
After 6 years there should be about 166 deer in the reserve.
o After 6 years there should be about 178 deer in the reserve.
o After 6 years there should be about 189 deer in the reserve.
(c) Express the number of deer present after 11 years using functional notation, and then calculate it.
N(
deer
Transcribed Image Text: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. (Give your answers correct to the nearest whole number.) 12.39 N = 0,05 + 0,52 (a) How many deer were initially on the reserve? deer (b) Calculate N(6). deer Explain the meaning of the number you have calculated. o After 6 years there should be about 12 deer in the reserve. After 6 years there should be about 166 deer in the reserve. o After 6 years there should be about 178 deer in the reserve. o After 6 years there should be about 189 deer in the reserve. (c) Express the number of deer present after 11 years using functional notation, and then calculate it. N( deer
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