Exponential growth of a small town
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Please assess this statement.
A small town that grows exponentially can become a large city in just a few decades.
Option 1) Does not make sense because exponential growth leads to repeated halvings, making the population decrease rapidly.
Option 2) Does not make sense because growth cannot continue indefinitely so the population will not get large enough for the town to be considered a city.
Option 3) Makes sense because exponential growth leads to repeated doublings making the population increase slowly.
Option 4) Makes sense because exponential growth leads to repeated doublings making the population increase rapidly.
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Solution Summary
In this solution we show how exponential growth can transform a small town into a large city in a few decades.
Solution Preview
Option 4 is the correct one. For example, suppose the population of the town is 10,000 and doubles every five years. The following table ...
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