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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 (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.

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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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