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An initial population of 505 beaver increases at an annual rate of 23%. Write an exponential function to model the beaver population.

Answer :


[tex] {505}^{x} = 505 \times 1.23 \\ {505}^{x} = 621.15 \\ x = log_{505}( \frac{12423}{20} ) \\ x = 1.03326[/tex]
so
[tex]f(x) = {x}^{1.0332} [/tex]

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