The table gives the population of the United States, in millions, for the years 1900€“2000.

(a) Use the exponential model and the census figures for 1900 and 1910 to predict the population in 2000. Compare with the actual figure and try to explain the discrepancy.
(b) Use the exponential model and the census figures for 1980 and 1990 to predict the population in 2000. Compare with the actual population. Then use this model to predict the population in the years 2010 and 2020.
(c) Graph both of the exponential functions in parts (a) and (b) together with a plot of the actual population are these models reasonable ones?

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Year Population Year Population 1900 76 1960 179 1910 92 1970 203 1920 106 1980 227 1930 123 1990 250 1940 131 2000 275 1950 150