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 * 1.23 \\ {505}^(x) = 621.15 \\ x = log_(505)( (12423)/(20) ) \\ x = 1.03326`
so

`f(x) = {x}^(1.0332)`