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3 votes
3 votes
The bird population of an island is declining at the rate of 2.2% per year the population was 3500 in the year 2016 which answer is the best prediction of the population in year 2022

User Kakalokia
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1 Answer

11 votes
11 votes

ANSWER:

3063

Explanation:

The first thing is to create an equation that models the situation with the data of the statement:


\begin{gathered} y=A\cdot(1-r)^x \\ \\ \text{ Where y is the best population prediction, A is the initial amount, r is the rate of decline, and x is the elapsed time.} \\ \\ \text{ We replacing:} \\ \\ y=3500(1-2.2\%)^x \\ \\ y=3500(1-0.022)^x=3500(0.978)^x \end{gathered}

We evaluate when x = 6, since the time elapsed between 2016 - 2022 is 6 years and we would be left with the following:


\begin{gathered} y=3500\cdot\left(0.978\right)^6 \\ \\ y=3062.676\approx3063 \end{gathered}

The best prediction of the population in the year 2022 is 3063

User MohanKumar
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