Given an exponential function for compounding interest, \(\displaystyle{A}{\left({x}\right)}={P}{\left({.82}\right)}{x}\), what is the rate of change?

\(\displaystyle{a}{)}-{18}\%\)

\(\displaystyle{b}{)}-{8}\%\)

\(\displaystyle{c}{)}{0.82}\%\)

\(\displaystyle{d}{)}{82}\%\)