P(t) is the population size at time t (measured in days)
P₀ is the initial population size
K is the carrying capacity of the environment
r is a constant representing population growth or decay

Problem F-Predict how a population will change over time

Using this model, answer the following question.

Suppose P₀ = 96, K = 130, and r = - 0.12. Compute the population size after 2, 5, 10, and 100 days. What do you suggest happens to the population size as t → ∞ ? Use the logistic equation above to find your answer.