The population of a colony of rabbits grows exponentially. The colony begins with 10 rabbits; 5 years later there are 390 rabbits.
(a) Express the population of the colony of rabbits, P, as a function of time, t, in years.
P(t) =
(b) Use the function to estimate how long it takes for the population of rabbits to reach 1000 rabbits.
It will take years. (round to nearest 0.01 year)