By 2019, nearly $1 out of every $5 spent in the U.S. economy is projected to go for health care. The bar graph shows the percentage of the U.S. gross domestic product (GDP) going toward health care from 2007 through 2014, with a projection for 2019.The data can be modeled by the function f (x) = 1.2 ln x + 15.7, where f (x) is the percentage of the U.S. gross domestic product going toward health care x years after 2006. Use this information to solve Exercises 115–116.

a. Use the function to determine the percentage of the U.S. gross domestic product that went toward health care in 2008. Round to the nearest tenth of a percent. Does this underestimate or overestimate the percent displayed by the graph? By how much?

b. According to the model, when will 18.6% of the U.S. gross domestic product go toward health care? Round to the nearest year.

Transcribed Image Text:

Percentage of GDP for Health Care Percentage of the Gross Domestic Product in the United States Going Toward Health Care 19.3 21% 18% 15.9" 15% 12% 9% 6% 3% 16.2 17.3. 17.4 17.5 * 2007 2008 2009 2010 2014 Year *********** 2019