The table gives the total U.S. expenditures (in billions of dollars) for health services and supplies for selected years from 2000 and projected to 2018.
Given that the model for these data is
y = 1319e0.062t
where t = 0 in 2000.
(a) Find the function that models the rate of change.
(b) Find the model's value for the rate of change of U.S. expenditures for health services and supplies in 2005 and in 2020.