Answer:
<em>P=1620</em>
<em>Third option</em>
Step-by-step explanation:
<u>Horizontal Asymptotes</u>
A given function is said to have a horizontal asymptote in y=a, if:
Or,
For the given function, the population of the species of bird is given by :
Where t is the time in years. To find the horizontal asymptote, we should compute both limits to check if they exist.
When t tends to plus infinity, P tends to 1620 .
The second asymptote is computed by:
When t tends to minus infinity, P tends to zero. Since the domain of P is , this asymptote is not valid, thus our only asymptote is