The U S total annual health care costs (actual and projected, in billions of dollars) for selected years are given in the table These costs can be modeled by C(t) 0 32t 3 7 7t 2 170t 1300 where C(t) is in billions of dollars per year and t is the number of years past 2000 Use a definite integral an...

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The U.S. total annual health care costs (actual and projected, in billions of dollars) for selected years

Question:

The U.S. total annual health care costs (actual and projected, in billions of dollars) for selected years are given in the table. These costs can be modeled by C(t) = 0.32t³ - 7.7t² + 170t + 1300 where C(t) is in billions of dollars per year and t is the number of years past 2000. Use a definite integral and this model to find the total U.S. health care costs over the period 2010–2020.

Year Cost Year Cost 2003 1778 2015 3244 2006 2167 2018 3785 2009 2506 2021 4543 2012 2817 2024 5425