In 1900, 0.2% of the U.S. population, or 122,000 people, were ages 85 and older. This number grew to 5,751,000 in 2010. The table on the following page lists data regarding the percentage of the U.S. population ages 85 and older in selected years from 1900 to 2010.

a) Use a graphing calculator to fit an exponential function to the data, where x is the number of years after 1900. Determine whether the function is a good fit.
b) Graph the function found in part (a) with a scatter plot of the data.
c) Estimate the percentage of the U.S. population ages 85 and older in 2007, in 2015, and in 2020.

Transcribed Image Text:

Percent of U.S. Population Ages 85 and Older, y Year, x 1900, 0 1910, 10 1920, 20 1930, 30 1940, 40 1950, 50 1960, 60 1970, 70 1980, 80 1990, 90 1995, 95 2000, 100 2005, 105 2010, 110 0.2% 0.2 0.2 0.2 0.3 0.4 0.5 0.7 1.5