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What is the doubling period of a population of bunnies if there were initially 12 bunnies and after 4 years there are 3072 bunnies?
Wiki User
∙ 13y ago
The period doubling is an exponentional function. This means that every time you multiply the current population by two.
Thus in here you are looking for the number of time you need to double 12 to be equal to 3072.
that is : 12 - 24 - 48 - 96 - 192 - 384 - 768 - 1536 - 3072
Thus 8 times.
But how to get this number ?!
this can be done by taking the logarithmic function which is the division by two of number over time. (the inverse of the exponential function)
Thus by doing
log2(3072) - log2(12) you get the answer.
The second term is to remove the initial population of bunnies.
if one don't have acces to the logarithmic function in base 2, one can use the regular logarithmic function like this :
log(3072)/log(2)-log(12)/(2) = 8
Now back to the question if it needed 4 years to get 8 multiplication, the doubling period is 6 month.
Wiki User
∙ 13y ago
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