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What is the fox population predicted to be in the year 2020?

What is the fox population predicted to be in the year 2020?-example-1
User Kuber
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The exponential growth model is given to be:


f(x)=a(1+r)^x

where a is the initial amount and r is the growth rate in decimals.

The growth rate is given to be 9% per year. This means that:


r=(9)/(100)=0.09

In the year 2012, there were 22,900 foxes. This means that:


a=22900

Therefore, the model will be:


\begin{gathered} f(x)=22900(1+0.09)^x \\ f(x)=22900(1.09)^x \end{gathered}

where f(x) is the fox population after x years after 2012.

The year 2020 is 8 years after 2012.

Therefore, the fox population will be:


\begin{gathered} x=8 \\ \therefore \\ f(x)=22900(1.09)^8 \\ f(x)=45629.68 \end{gathered}

The estimated fox population is 45,630.

User Mathews Sunny
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