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.) 12.37 N = 0.05 + 0.54t (a) How many deer were initially on the reserve? X deer (b) Calculate N(8). V deer N(8) = 216 Explain the meaning of the number you have calculated. After 8 years there should be about 11 deer in the reserve. After 8 years there should be about 204 deer in the reserve. After 8 years there should be about 216 deer in the reserve. O After 8 years there should be about 227 deer in the reserve. (c) Express the number of deer present after 13 years using functional notation. (. N 13 Calculate the number of deer present after 13 years. deer 245 (d) How much increase in the deer population do you expect from the 8th to the 13th year? deer 29 Sand ro V. Maduel VShutterstock.com
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.) 12.37 N = 0.05 + 0.54t (a) How many deer were initially on the reserve? X deer (b) Calculate N(8). V deer N(8) = 216 Explain the meaning of the number you have calculated. After 8 years there should be about 11 deer in the reserve. After 8 years there should be about 204 deer in the reserve. After 8 years there should be about 216 deer in the reserve. O After 8 years there should be about 227 deer in the reserve. (c) Express the number of deer present after 13 years using functional notation. (. N 13 Calculate the number of deer present after 13 years. deer 245 (d) How much increase in the deer population do you expect from the 8th to the 13th year? deer 29 Sand ro V. Maduel VShutterstock.com
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.2: Applications Of Exponential Functions
Problem 44E: Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program...
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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. (Round your answers down to the nearest whole number.)
12.37
N =
0.05 + 0.54t
(a) How many deer were initially on the reserve?
X deer
(b) Calculate N(8).
V deer
N(8) =
216
Explain the meaning of the number you have calculated.
After 8 years there should be about 11 deer in the reserve.
After 8 years there should be about 204 deer in the reserve.
After 8 years there should be about 216 deer in the reserve.
O After 8 years there should be about 227 deer in the reserve.
(c) Express the number of deer present after 13 years using functional notation.
(.
N 13
Calculate the number of deer present after 13 years.
deer
245
(d) How much increase in the deer population do you expect from the 8th to the 13th year?
deer
29
Sand ro V. Maduel VShutterstock.com
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