U.S. Population The total U.S. population for selected years from 1950 to 2009 is shown in the table below, with the population given in thousands. Use x to represent the number of years from 1950 and y to represent the number of thousands of people.
a. Find the average annual rate of change in population during 1950–2009, with the appropriate units.
b. Use the slope from part (a) and the population in 1950 to write the equation of the line associated with 1950 and 2009.
c. Use the equation to estimate the population in 1975. Does it agree with the population shown in the table?
d. Why might the values be different?
Year | Population (thousands) | Year | Population (thousands) |
1950 | 152,271 | 1985 | 238,466 |
1955 | 165,931 | 1990 | 249,948 |
1960 | 180,671 | 1995 | 263,044 |
1965 | 194,303 | 2000 | 281,422 |
1970 | 205,052 | 2005 | 296,410 |
1975 | 215,973 | 2009 | 307,007 |
1980 | 227,726 |
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