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.)

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.7: Exponential And Logarithmic Models
Problem 16TI: Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds....
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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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