A conservation organization releases 30 panthers into a preserve. After 3 years, there are 50 panthers in the preserve. The preserve has a carrying capacity of 150. Determine the population after 6 years. Discard any fractional part of your answer.
A) 74
B) 66
C) 87
D) 79
E) 130

Question

Quizplus · Accepted Answer

The population growth can be modeled by a logistic growth function, which accounts for the carrying capacity. In 3 years, the population grew from 30 to 50, indicating a growth rate that is not linear due to the carrying capacity constraint. Assuming the growth rate decreases as the population approaches the carrying capacity, and without specific growth rate details, a rough estimate would suggest a slowing growth. Doubling the time from 3 to 6 years doesn't double the population due to this deceleration. Among the given options, 74 is a reasonable estimate considering the carrying capacity and the initial growth observed.

A Conservation Organization Releases 30 Panthers into a Preserve