Total personal income of the country (in billions of dollars) for selected years from 1960 to 2005 is given in the table. Year Personal Income 1960 408.9 (a) These data can be modeled by an...

Extracted text: Total personal income of the country (in billions of dollars) for selected years from 1960 to 2005 is given in the table. Year Personal Income 1960 408.9 (a) These data can be modeled by an exponential function. Write the equation of this function, with x as the number of years after 1960. (b) If this model is accurate, what will be the country's total personal income in 2010? (c) In what year does the model predict the total personal income will reach $22 trillion? 1970 839.5 1980 2315.4 4876.9 8421.7 10,234 2 1990 2000 2005 (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.) (b) The country's total personal income in 2010 will be $ (Round to three decimal places as needed) billion. (c) The total personal income will reach $22 trillion in the year (Round up to the nearest year.)