The accompanying table provides the annual real GDP (in billions of 2009 dollars) and nominal GDP (in billions of dollars) for the United States.
$$\begin{array}{c|c|c|c|c|c}
& \mathbf{2 0 0 9} & \mathbf{2 0 1 0} & \mathbf{2 0 1 1} & \mathbf{2 0 1 2} & \mathbf{2 0 1 3} \\
\begin{array}{c}
\text { Real } \\
\text { GDP } \\
\text { (billions }
\end{array} & 14,417.9 & 14,779.4 & 15,052.4 & 15,470.7 & 15,761.3 \\
\begin{array}{c}
\text { of 2009 } \\
\text { dollars) }
\end{array} & & & & \\
\begin{array}{c}
\text { Nominal } \\
\text { GDP } \\
\text { (billions } \\
\text { of } \\
\text { dollars) }
\end{array} & 14,417.9 & 14,958.3 & 15,533.8 & 16,244.6 & 16,799.7 \\
\end{array}$$
a. Calculate the GDP deflator for each year.
b. Use the GDP deflator to calculate the inflation rate for all years except 2009