A conservation organization releases 50 foxes into a preserve. After 5 years, there are 85 foxes in the preserve. The preserve has a carrying capacity of 225. Determine the population after 10 years. Discard any fractional part of your answer.
A) 126
B) 118
C) 139
D) 131
E) 205

Question

Quizplus · Accepted Answer

The growth of the fox population can be modeled by the logistic growth equation, which accounts for the carrying capacity. Given the initial population (P0 = 50), carrying capacity (K = 225), and population after 5 years (P5 = 85), we can estimate the growth rate and then project the population after 10 years. Without the specific growth rate or formula provided, we can't calculate it exactly here, but the logistic model generally shows slowing growth as the population approaches the carrying capacity. Among the given options, 126 is a reasonable estimate considering the slowing growth rate over time.

A Conservation Organization Releases 50 Foxes into a Preserve