National health expenditures per capita E (in dollars) have risen dramatically since 2000. By using data from the Centers for Medicare and Medicaid Services from 2006 and projected to 2021, the rate of change of health expenditures per capita can be modeled by dE / dt = 41.22t - 116.4 dollars per year, where t is the number of years past 2000.
(a) Find the function that models the national health expenditures per capita if these expenditures were $9808 in 2014. Use four significant digits.
(b) Use the model from part (a) to predict the national health expenditures per capita for 2020.