Given:
Present population of bison = 3652
Maximum growth rate = 0.28
To find:
The population of bison after one year.
Solution:
The future population can be calculated with the help of the following formula,
[tex]P_F=P_P\times(1+r)^n[/tex]
where [tex]P_F[/tex] is the future population, [tex]P_P[/tex] is the present population, r is the growth rate and n is the number of years.
On substituting the given values in the formula we get,
[tex]\Rightarrow P_F=3652\times(1+0.28)^1[/tex]
[tex]\Rightarrow P_F=3652\times1.28\rightarrow4674.56\approx4675[/tex]
Therefore, the population size of bison after one year is 4675. The park does not have to control the population because the growth rate is on an average scale.