10 rabbits at first then five years later 340 rabbits.
give a formula for the population of the colony of rabbits as a function of the time
a=10, r = rate of yearly increase, R = number of rabbits after n years.
340=10*r 5
34=r 5
r = 34^(1/5)
r = 35^0.2
R n = 10 * [34^0.2] n
R n = 10 * 34 (0.2n)
This is based on the premise that rabbits increase in number yearly as a geometric progression, which, of couse, they do not.