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 .
Answer
\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%}}
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%}}
