Question

If the current population size of bison is 3,652 and the maximum growth rate of the population is 0.28, calculate the population size after one year and determine whether the park will need to take measures to control the population.

Answer 1

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,

$P_F=P_P\times(1+r)^n$

where $P_F$ is the future population, $P_P$ 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,

$\Rightarrow P_F=3652\times(1+0.28)^1$

$\Rightarrow P_F=3652\times1.28\rightarrow4674.56\approx4675$

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.