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Exercise 7: One can approximate population growth via an exponential growth function like f(t) = Cekt. (a) The population of the world was about 6127 in the year 2000, and 6520 in the year 2005 (in millions of people). Let t be the number of years since 2000, and use these two data points to find C and k in the above formula. (b) Use this function to estimate the world population in the year 2020. The actual value is 7678. How close is the estimate?

Exercise 7: One can approximate population growth via an exponential growth function like f(t) = Cekt. (a) The population of the world was about 6127 in the year 2000, and 6520 in the year 2005 (in millions of people). Let t be the number of years since 2000, and use these two data points to find C and k in the above formula. (b) Use this function to estimate the world population in the year 2020. The actual value is 7678. How close is the estimate?

Calculus: Early Transcendentals
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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Exercise 7: One can approximate population growth via an exponential growth function like f(t) = Cekt. (a) The population of the world was about 6127 in the year 2000, and 6520 in the year 2005 (in millions of people). Let t be the number of years since 2000, and use these two data points to find C and k in the above formula. (b) Use this function to estimate the world population in the year 2020. The actual value is 7678. How close is the estimate?
Transcribed Image Text:Exercise 7: One can approximate population growth via an exponential growth function like f(t) = Cekt. (a) The population of the world was about 6127 in the year 2000, and 6520 in the year 2005 (in millions of people). Let t be the number of years since 2000, and use these two data points to find C and k in the above formula. (b) Use this function to estimate the world population in the year 2020. The actual value is 7678. How close is the estimate?
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