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 tonear 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 attime 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 nearestwhole number.)N =12.370.03 +0.52t(a) How many deer were initially on the reserve?deer(b) Calculate N(8).N(8) =(TRAdeerExplain the meaning of the number you have calculated.O After 8 years, there should be about 12 deer in the reserve.O After 8 years, there should be about 337 deer in the reserve.O After 8 years, there should be about 349 deer in the reserve.O After 8 years, there should be about 361 deer in the reserve.(c) Express the number of deer present after 13 years using functional notation.Calculate the number of deer present after 13 years.deer(d) How much increase in the deer population do you expect from the 8th to the 13th year?deer

Answered: Image /qna-images/answer/9d44bf57-bbc2-455a-aa18-e844925e8a99.jpg

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 = 12.37 0.03+0.52 (a) How many deer were initially on the reserve? deer (b) Calculate N(8). N(8) = deer Explain the meaning of the number you have calculated. O After years, there should be about 12 deer in the reserve. O After 8 years, there should be about 337 deer in the reserve. O After 8 years, there should be about 349 deer in the reserve. O After 8 years, there should be about 361 deer in the reserve. (c) Express the number of deer present after 13 years using functional notation. Calculate the number of deer present after 13 years. deer (d) How much increase in the deer population do you expect from the 8th to the 13th year? deer

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...