Animal populations are not capable of unrestricted growth because of limited habitat and food supplies.

Question

Under such conditions the population follows a logistic growth model:
P(t) = d/1 + ke^−ct
where c, d, and k are positive constants. For a certain fish population in a small pond d = 1000, k = 9, c = 0.2, and t is measured in years. The fish were introduced into the pond at time t = 0.

 

Find the population after 10, 20, and 30 years.

Answer 1

Just use your calculator, substituting values for the letters (except e, of course); parenthesize properly, including the entire denominator within a pair of ( ), which you should have done when defining P(t) for us.