The global population has been estimated to have been 5.267 billion in 1990 and 6.689 billion in 2008. (Assume those estimates are for Jan. 1 of the respective years.) a) Assume that human population follows the exponential growth model. Estimate the relative growth rate k. b) Use the exponential growth model to predict the global population in the year 2020 to the nearest million. c) Use the model to predict the year when the population reaches 8 billion.  d) Again using the model, when the population reaches 8 billion, estimate the total growth of the global population in the next four months. Give your estimate to the nearest million. Explain how you are making your estimate. (There are at least two valid ways to come up with an estimate. Any valid method is acceptbale, provided you fully explain the method you are using.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The global population has been estimated to have been 5.267 billion in 1990 and 6.689 billion in 2008. (Assume those estimates are for Jan. 1 of the respective years.)

a) Assume that human population follows the exponential growth model. Estimate the relative growth rate k.

b) Use the exponential growth model to predict the global population in the year 2020 to the nearest million.

c) Use the model to predict the year when the population reaches 8 billion. 

d) Again using the model, when the population reaches 8 billion, estimate the total growth of the global population in the next four months. Give your estimate to the nearest million. Explain how you are making your estimate. (There are at least two valid ways to come up with an estimate. Any valid method is acceptbale, provided you fully explain the method you are using.)

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