Question

The population of deer in a forest preserve is predicted to decline by 5%this year. If the current population is 560, what population is predicted fornext year?O 5880 532O 200O 28

Answer 1

The population of dear is predicted to decline by 5% this year.

If the current population is;

`P_0=560`

Then the population predicted for next year would be;

`\begin{gathered} P_1=P_0-5\text{ \% of }P_0 \\ P_1=P_0-(5)/(100)P_0 \\ P_1=P_0-0.05P_0 \\ P_1=0.95P_0 \end{gathered}`

Substituting the value of the current population, we have;

`\begin{gathered} P_1=0.95(560) \\ P_1=532 \end{gathered}`

Therefore, the predicted population for next year is 532.