Chapter 2.2, Problem 47E

Health care costs per capita Rising health care costs are a growing concern for everyone in the United States. Using U.S.Centers for Medicare and Medicail Services data from $2006$ and projected to $2021$, U.S. per capita health care costs can be modeled by

$y=20.61x^2-116.4x+7406$ where $x$ is the number of years past $2000$. Use this equation to find, to the nearest dollars, the average rate of change of U.S. per capita health care costs from $2010$ to $2015$ and from

$2015$ to $2020$