The initial bird population density is 3713.
Given info;
A certain county received a new species of bird 25 years ago. According to biologists, the population doubles every ten years and is currently 21,000 people.
To get the initial size of the bird population;
We use the formula,
[tex]P(t)=Po* 2^\frac{t}{10}[/tex]
Where Po is the initial population and t is the time in years.
[tex]21000= P(25)=Po*2^\frac{25}{10}[/tex]
[tex]21000= Po*2^\frac{5}{2}[/tex]
[tex]21000= 4\sqrt{2}*Po[/tex]
[tex]Po = 21000/4\sqrt{2}[/tex]
[tex]Po = 3712.31\\Po = 3713[/tex]
Hence, the initial size of the bird population is 3713.
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