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Modeling Data The table shows the populations y (in millions) of the United Stales for 2004 through 2009. The variable t represents the time in years, with t = 4 corresponding to 2004. (Source: U.S. Census Bureau)
t | 4 | 5 | 6 | 7 | 8 | 9 |
y | 293.0 | 295.8 | 298.6 | 301.6 | 304.4 | 307.0 |
(a) Plot the data by hand and connect adjacent points with a line segment.
(b) Use the slope of each line segment to determine the year when the population increased least rapidly.
(c) Find the average rate of change of the population of the United States from 2004 through 2009.
(d) Use the average rate of change of the population to predict the population of the United States in 2020.
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