(a) Use the fact that the population was 250 million in 1990 (t = 0) to formulate a logistic model for the population of a particular region. (Assume the carrying capacity is 4500 million.)
P =
(b) Determine the value of k in your model by using the fact that the population in 2000 was 275 million. (Round your answer to eight decimal places.)
k =
(c) Use your model to predict the population in the years 2100 and 2200. (Round your answers to the nearest whole number.)
________ million people in 2100
________million people in 2200