Problem
Which exponential function has the greatest percent rate of change? A. $f(x)=2\left(\frac{5}{4}\right)^{x}$ B. $g(x)=12(1+3.25)^{x}$ C \begin{tabular}{|l|c|c|c|c|c|} \hline$x$ & 0 & 1 & 2 & 3 & 4 \\ \hline$h(x)$ & 64 & 48 & 36 & 27 & 20.25 \\ \hline \end{tabular} D. An exponential function $j$ models a relationship in which $j(x)$ is multiplied by 9 as $x$ increases by 2 .
Solution
Step 1 ：Find the percent rate of change for each function: A: \(25.0\%\), B: \(325.0\%\), C: \(33.33\%\), D: \(200.0\%\)
Step 2 ：\boxed{\text{The exponential function with the greatest percent rate of change is B. } g(x)=12(1+3.25)^{x} \text{ with a percent rate of change of 325%}}
