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The population of a certain country has grown at a rate proportional to the number of people in the country. At present, the country has 80 million inhabitants. Ten years ago it had 70 million. Assuming that this trend continues, find (a) an expression for the approximate number of people living in the country at any time r (taking r3D0 to be the present time) and (b) the approximate number of people who will inhabit the country at the end of the next ten-year period.

The population of a certain country has grown at a rate proportional to the number of people in the country. At present, the country has 80 million inhabitants. Ten years ago it had 70 million. Assuming that this trend continues, find (a) an expression for the approximate number of people living in the country at any time r (taking r3D0 to be the present time) and (b) the approximate number of people who will inhabit the country at the end of the next ten-year period.

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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The population of a certain country has grown at a rate proportional to the number of people in the country. At present, the country has 80 million inhabitants. Ten years ago it had 70 million. Assuming that this trend continues, find (a) an expression for the approximate number of people living in the country at any time r (taking t= 0 to be the present time) and (b) the approximate number of people who will inhabit the country at the end of the next ten-year period.
Transcribed Image Text:The population of a certain country has grown at a rate proportional to the number of people in the country. At present, the country has 80 million inhabitants. Ten years ago it had 70 million. Assuming that this trend continues, find (a) an expression for the approximate number of people living in the country at any time r (taking t= 0 to be the present time) and (b) the approximate number of people who will inhabit the country at the end of the next ten-year period.
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