Question
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The exponential function given by , where t is the number of years after 2008, can be used to project the number of
centenarians in a certain country. Use this function to project the centenarian population in this country in 2013 and in 2038 .
The centenarian population in 2013 is approximately
(Round to the nearest whole number.)
The centenarian population in 2038 is approximately
(Round to the nearest whole number.)

Ask by Estrada Harris. in the United States
Nov 12,2024

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Answer

The centenarian population in 2013 is approximately 101,000.
The centenarian population in 2038 is approximately 343,000.

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Beyond the Answer

To find the centenarian population using the function , we substitute with the number of years since 2008.
For 2013:
The value of is .
Calculating (you can use a calculator for precision),
Rounded to the nearest whole number, the centenarian population in 2013 is approximately 101,017.
For 2038:
The value of is .
Calculating ,
Rounded to the nearest whole number, the centenarian population in 2038 is approximately 335,405.

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