How many deer were initially on the reserve?

Question

when a breeding group of animals is introduced into a restricted area such as a wildlife reserve, the population can be expected to grow rapidly at first but to level out when the population grows to near the maximum that the environment can support. Such growth is known as logistic population growth. and ecologists sometimes use a formula to describe it. The number N of deer present at time t (measured in years since the herd was introduced) on a certain wildlife reserve has been determined by ecologists to be given by the function

N= 12.36/0.03+0.55^t

Answer 1

I believe your formula is

12.36

----------------       = N

0.03+0.55^t

Basically we're trying to find the amount of deer at time zero. To do this substitute 0 in for t into the formula.

12.36 / (.03+(.55^0)) =

12.36 / (.03 + 1) =

12 deer were present initially on the reserve.