The population of a colony of rabbits grows exponentially.

Question

The population of a colony of rabbits grows exponentially. The colony begins with 5 rabbits; 5 years later there are 360 rabbits.

(a) Express the population of the colony of rabbits, P, as a function of time, t, in years.  

P(t)=

(b) Use the graph 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)

Answer 1

5+p^5=360

p^5=355

355^.2=3.24=Multiplied by "p" in each of 5yrs.

1000 rabbits=5.89yrs