Question: The exponential function of the best fit to the data is \(f\left( x \right)=98\times {{0.92}^{x}}\) , where weight f is a function of the day x . Express the function of the best fit in the form \(A\left( t \right)={{A}_{0}}{{e}^{kt}}\), where weight A is a function of the day t.

Find values for \({{A}_{0}}\) and k, so that the only variables are t and A. Round k to the nearest fourth decimal.