According to a certain logistic model, the world’s population (in billions) t years after 1960 will be approximately

a. If this model is correct, at what rate was the world’s population increasing with respect to time in the year 2000? At what percentage rate was the population increasing at this time?

b. When will the population be growing most rapidly?

c. Sketch the graph of P(t). What feature occurs on the graph at the time found in part (b)? What happens to P(t) in the long run?

Transcribed Image Text:

P(t) 40 1 + 12e7 -0.08t