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 2002 and projected to 2024, the rate of change of health expenditures per capita can be modeled by

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 $8428 in 2010. Use 3 significant digits.

(b) Use the model from part (a) to predict the national health expenditures per capita for 2020.

Transcribed Image Text:

dE 2.73t2 – 50.6t + 549 dt