AIR MATH

Math Question

21 A conservation agency tracks the sea turtle population by counting the number of nesting sites where the turtles lay their eggs. The table shows the numbers of nesting sites for several years since 2001 . The data can be modeled by an exponential function.
\begin{tabular}{|c|c|}
\hline \multicolumn{2}{|c|}{ Sea Turtles } \\
\hline Number of Years Since \( 2001, x \) & Number of Nesting Sites, \( n(x) \) \\
\hline 1 & 46,125 \\
\hline 2 & 37,994 \\
\hline 3 & 40,513 \\
\hline 4 & 29,368 \\
\hline 5 & 34,082 \\
\hline 6 & 31,746 \\
\hline 7 & 27,691 \\
\hline
\end{tabular}
Which function best models the data?
A \( n(x)=25,956.80(1.08)^{x} \)
B \( n(x)=46,797.94(0.93)^{x} \)
C \( n(x)=1.08(25,956.80)^{x} \)
D \( n(x)=0.93(46,797.94)^{x} \)

Solution

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