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28) The population of San Francisco was 276,730 in 2000. If the population is growing at a rateof 15% and can be modeled by the function f(x) = 276,730(1.15)* where x represents years since2000, find the population of San Francisco in 2009.

Respuesta :

The population of san fransisco is modeled by the function;

[tex]f(x)=276,730(1.15)^x[/tex]

Where x is the number of years since 2000.

In 2009, x = 9, thus, we have the population to be;

[tex]\begin{gathered} f(9)=276,730(1.15)^9 \\ =1324277.181 \end{gathered}[/tex]

Thus, to the nearest whole number, the population in 2009 was;

1324277 people

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