The table shows the total personal income in the United States (in billions of dollars) for selected years from 1960 and projected to 2024. Year Income ($ billions) Year Income ($ billions) 1960 2008 12,100.7 1970 2014 14,728.6 19,129.6 22,685.1 1980 1990 2000 411.5 838.8 2307.9 4878.6 8429.7 (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 and y as the total personal income in billions of dollars. (Round your numerical values to three decimal places.) y = 411.5 x 1.669 X Read It X (b) Does the unrounded model overestimate or underestimate the total personal income given in the table for 2018? The model overestimates the projected total. O The model underestimates the projected total. 2018 2024 Awesome job! (c) Graphically determine the year the model predicts total personal income will reach $26 trillion. 2068 Need Help? Watch It

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