Question

Identify the initial amount a and the decay factor b in the exponential function. y equals 5 times 0.5 superscript x

Answer 1

$\bf \qquad \textit{Amount for Exponential Decay} \\\\ A=a(b)^x\qquad \begin{cases} A=\textit{accumulated amount}\\ a=\textit{initial amount}\\ b=\textit{decay factor}\\ x=\textit{elapsed time}\\ \end{cases} \\\\\\ y=\stackrel{a}{5}(\stackrel{b}{0.5})^x$