Solved: America is getting older. The graph shows the

Chapter 0, Problem P3.116

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America is getting older. The graph shows the projected elderly U.S. population for ages 65 84 and for ages 85 and older. 1999 Spam as a Percentage of e-Mail 0 10 3020 40 6050 70 80 90 21% 2002 56% 2004 68% 2005 72% Percentage of e-Mail Source: IronPort Projected Elderly United States Population Year 2010 34.1 6.1 2020 47.3 7.3 2030 61.9 9.6 2040 64.7 15.4 2050 65.8 20.9 10 40 60 80 20 30 Projected Population (millions) Ages 65 84 Ages 85+ 70 50 Source: U.S. Census Bureau a. According to the model, what percentage of e-mail was spam in 2004? Use a calculator and round to the nearest tenth of a percent. Does this underestimate or overestimate the actual percentage given in the bar graph? By how much? b. According to the model, what percentage of e-mail will be spam in 2011? Round to the nearest tenth of a percent. The formula models the projected number of elderly Americans ages 65 84, in millions, years after 2010. a. Use the formula to find the projected increase in the number of Americans ages 65 84, in millions, from 2020 to 2050. Express this difference in simplified radical form. b. Use a calculator and write your answer in part (a) to the nearest tenth. Does this rounded decimal overestimate or underestimate the difference in the projected data shown by the bar graph? By how much?