Total personal income in the United States (in billions of dollars) for selected years from 1960 and projected to 2018 follows.

(a) These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years past 1960.
(b) Does the model overestimate or underestimate the projected total personal income in 2018?
(c) In what year does the model predict the total personal income will reach $30 trillion?

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1960 1970 1980 1990 2000 2008 Personal Income 411.5 838.8 2307.9 4878.6 8429.7 12,100.7 19,129.6 Year 2018