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03-02-2022
Mathematics

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goddessboi goddessboi · Answer 1 · 2022-02-03T15:59:11-05:00

Answer:

4321 people

Step-by-step explanation:

Since the population is modeled by exponential growth, we would need to determine the approximate growth factor by using the formula [tex]y=ab^x[/tex] where [tex]a[/tex] is the initial population, [tex]b[/tex] is the growth factor, and [tex]x[/tex] will be the number of years after 1994:

[tex]y=ab^x\\\\1519=1256b^2\\\\\frac{1519}{1256}=b^2\\\\b\approx1.0997[/tex]

Therefore, since 13 years after 1994 is 2007, then we have:

[tex]y=1256(1.0997)^x\\\\y=1256(1.0997)^{13}\\\\y\approx4321[/tex]

Therefore, the population of Amuel in 2007 was approximately 4321 people.

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