The table gives the midyear population of Japan, in thousands, from 1960 to 2010.

\(\begin{array}{|c|c|}\hline \text{Year} & \text{Population} \\ \hline 1960 & 94.092 \\ \hline 1965 & 98.883 \\ \hline 1970 & 104.345 \\ \hline 1975 & 111.573 \\ \hline 1980 & 116.807 \\ \hline 1985 & 120.754 \\ \hline 1990 & 123.537 \\ \hline 1995 & 125.327 \\ \hline 2000 & 126.776 \\ \hline 2005 & 127.715 \\ \hline 2010 & 127.579 \\ \hline \end{array}\)

Use a calculator to fit both an exponential function and a logistic function to these data. Graph the data points and both functions, and comment on the accuracy of the models. [Hint: Subtract 94,000 from each of the population figures. Then, after obtaining a model from your calculator, add 94,000 to get your final model. It might be helpful to choose \(t=0\) to correspond to 1960 or 1980.]