The table shows the total personal income in the United States (in billions of dollars) for selected years from 1960 and projected to 2024.

(a) These data can be modeled by an exponential function. Write the equation of this function, with x equal to the number of years after 1960. Report the model with 4 significant digits.
(b) Does the unrounded model overestimate or underestimate the total personal income given in the table for 2018?
(c) Graphically determine the year the model predicts total personal income will reach $34 trillion.

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Year Income ($ billions) Year Income ($ billions) 1960 411.5 2008 12,100.7 1970 838.8 2014 14,728.6 1980 2307.9 2018 19,129.6 1990 4878.6 2024 22,685.1 2000 8429.7