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 t (takingt=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.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
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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 t (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 t (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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