Math Problem Statement

A Population of Foxes A breeding group of foxes is introduced into a protected area, and the population growth follows a logistic pattern. After t years, the population of foxes is given by N= 37.5 divide 0.25 plus 0.76 exponent t foxes.

a. How many foxes were introduced into the protected area?

b. Make a graph of N versus t and explain in words how the population of foxes increases with time.

c. When will the fox population reach 100 individuals?

Solve b only

Solution

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Math Problem Analysis

Mathematical Concepts

Logistic Growth
Exponential Functions
Population Dynamics

Formulas

N(t) = 37.5 / (0.25 + 0.76^t)

Theorems

Logistic Growth Theorem

Suitable Grade Level

Grades 11-12