Total personal income of the country (in billions of dollars) for selected years from 1958 to 2003 is given in the table. (a) These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years after 1958. (b) If this model is accurate, what will be the country's total personal income in 2008? (c) In what year does the model predict the total personal income will reach $21 trillion? Year 1958 1968 1978 1988 1998 2003 Personal Income 410.9 834 2 2315.8 4879.1 8427.9 10,238.9

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