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Which of the following models the rising population of a city with 8,000 residents when the annual growth rate is 4%?y = 8000(0.04)xy = 800(1.04)xy = 8000(1.04)xy = 1.04(8000)x

User BabakHSL
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1 Answer

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Explanation

We are given the following:


\begin{gathered} initial\text{ }population(a)=8000 \\ r=4\%=0.04 \end{gathered}

We are required to determine the model with the given data.

We know that the model is an exponential function given as:


\begin{gathered} y=ab^x \\ where \\ b=1+r \end{gathered}

Therefore, we have:


\begin{gathered} y=ab^x \\ y=8000(1+0.04)^x \\ y=8000(1.04)^x \end{gathered}

Hence, the answer is:


y=8,000(1.04)^(x)

User Gdbj
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