Total personal income of the country (in billions of dollars) for selected years from 1958 to 2003 is given in the table. Personal Income 410.6 834.4 Year 1958 (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? 1968 1978 2309.3 1988 4883.2 8420.8 10,233.9 1998 2003 ..... (a) The equation of an exponential function that models the data is y =. (Use integers or decimals for any numbers in the expression. Round to three decimal places as needed.)

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