Math Problem Statement
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 = 12.31/0.03 + 0.58t
(a) How many deer were initially on the reserve?
(b) Calculate N(12).
(c) Express the number of deer present after 17 years using functional notation. Calculate the number of deer present after 17 years.
(d) How much increase in the deer population do you expect from the 12th to the 17th year?
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Algebra
Logistic Population Growth
Rational Functions
Formulas
N(t) = 12.31 / (0.03 + 0.58 * t)
Theorems
Logistic Growth Model
Suitable Grade Level
Grades 10-12
Related Recommendation
Deer Population Growth Model: Exponential Decay and Logistic Functions
Logistic Population Growth: Deer Population Modeling with Rational Functions
Logistic Growth Equation - Deer Population in a Forest
Exponential Growth of Deer Population: 2003 to 2007
Predicting Deer Population Growth in Wildlife Reserves Over 12 Years