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The total attendance at a science museum is modeled by the function f(x)=14,788(1.025)x. If the initial total attendance (that is, the total attendance when x=0) was measured January 1, 2014, what will the total attendance be on January 1, 2030? Round your answer to the nearest whole number, if necessary.

The total attendance at a science museum is modeled by the function f(x)=14,788(1.025)x-example-1
User Mateusz Gruszczynski
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1 Answer

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SOLUTION:

Given that the attendance is modeled by;


\begin{gathered} f(x)=14788(1.025)^x \\ \text{Where x is the time (years)} \end{gathered}

At January 1, 2030, the value of x is;


\begin{gathered} x=2030-2014 \\ x=16 \end{gathered}

Thus, the total attendance on January 1, 2030 is;


\begin{gathered} f(16)=14788(1.025)^(16) \\ f(16)=21952.87 \end{gathered}

Then, the total attendance round to nearest whole number is;


21,953\text{ people}

User MISJHA
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