(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 4600 million.)

P=

(b) Determine the value ofkin 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-

(d) Use your model to predict the year in which the population will exceed 350 million.