### Home > APCALC > Chapter 10 > Lesson 10.4.2 > Problem 10-167

When scientists talk about populations they often refer to the carrying capacity of species in a particular environment. Carrying capacity is the largest population that an environment can sustain forever.

Suppose the carrying capacity of seals for a particular group of islands is * *represent the number of seals on the island after

*years.*

Write a differential equation that models the rate of change in the number of seals.

Write a general solution for the differential equation.

Recall that

whenbecause that is the current population. Suppose that after ten years, 2500 seals inhabit the island. Write a formula forin terms of.