Question

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

Answer 1

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