The table gives the midyear population of Japan, in thousands, from 1960 to 2005.

Use a graphing 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. 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.

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Year PopulatiYearPopulation 1960 1965 1970 1975 1980 94,092 98,883 104,345 111,573 116,807 1985 1990 1995 2000 2005 120,754 123,537 125,341 126,700 127,417