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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
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
when because that is the current population. Suppose that after ten years, 2500 seals inhabit the island. Write a formula for in terms of .