Chapter 11.5, Problem 61E

Total spending (in billions of dollars) in the United States from all sources on physician and clinical services for the years 2000–2012 are shown in the bar graph and can be modeled by the quadratic function

$f\left(x\right)=-0.2901x^2+25.90x+\mathrm{291.6.}$

Here, $x=0$

represents 2000, $x=2$

represents 2002, and so on. Use the graph and the model to work Exercises 59–62. See Example 6.

According to the model, in what year did spending on physician and clinical services first exceed $500 billion? (Round down for the year.)