ulation Growth The population of a developing rural p 222 52t + 10,000, where t is time in years, with t0 corresponding to 1990. (a) Evaluate P for t = 0, 10, 15, 20, and 25, Explain these area has been growing according to the model values. (b) Determine the population growth rate, dP/dt. (c) Evaluate dP/dt for the same values as in part (a) Explain your results.
(b) Use the logistic model to estimate the world population in the year 2000. Compare with the actual population of 6.1 billion. (Round the answer to two decimal places.) P =
(c) Use the logistic model to predict the world population in the years 2100 and 2500. (Round your answer to two decimal places.)
(d) What are your predictions if the carrying capacity is 60 billion? (Round your answers to two decimal places.)