The figure shows the number of people in the United States age 65 and over, with

Chapter 9, Problem 50

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The figure shows the number of people in the United States age 65 and over, with projected figures for the year 2020 and beyond. United States Population Age 65 and Over Number of People 65 and Over (millions) 10 20 30 40 50 60 70 80 90 100 1900 1910 1920 1930 Year 1940 1950 1960 1970 1980 1990 2000 3.1 4.0 4.9 6.7 9.0 12.4 16.720.1 25.5 31.235.0 2010 2020 2030 2040 2050 40.2 54.6 71.5 86.7 80.1 Source: U.S. Bureau of the Census a. Let x represent the number of years after 1899 and let y represent the U.S. population age 65 and over, in millions. Use your graphing utility to find the model that best fits the data in the bar graph. b. Rewrite the model in terms of base e. By what percentage is the 65 and over population increasing each year?

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