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

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

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...

See similar textbooks

Similar questions

Does a linear, exponential, or logarithmic model best fit the data in Table 2? Find the model.
What does the y -intercept on the graph of a logistic equation correspond to for a population modeled by that equation?
With what kind of exponential model would doubling time be associated? What role does doubling time play in these models?
What might a scatterplot of data points look like if it were best described by a logarithmic model?
Use a graphing calculator to solve each problem. In Example 4, suppose that a birth control program changed the formula for poulation growth to Pt=1000e0.01t. How long will the food supply be adequate? EXAMPLE 4 Using a Graphing Calculator to Solve a popuiation Problem Suppose that a country with a population of 1000 people is growing exponentially according to the population function Pt=1000e0.02t Where t in years. Furthermore, assume that the food supply, measured in adequate food per day per person, is growing linearly according to the function fx=30.625x+2000 In how many years will the population outstrip the food supply?
With what kind of exponential model would half-life be associated? What role does half-life play in these models?
An investment account was opened with aninitial deposit of 9,600 and earns 7.4 interest,compounded continuously. How much will theaccount be worth after 15 years?
What situations are best modeled by a logistic equation? Give an example, and state a case for why the example is a good fit.