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The U.S. Constitution requires a census every 10 years. The census data for 17902010 are given in the table. Year Population P Year Population P
The U.S. Constitution requires a census every 10 years. The census data for 17902010 are given in the table. Year Population P Year Population P Year Population P t (in millions) t (in millions) t {in millions) 1790 3.9 1870 38.6 1950 151.3 1800 5.3 1880 50.2 1960 179.3 1810 7.2 1890 63.0 1970 203.3 1820 9.6 1900 76.2 1980 226.5 1830 12.9 1910 92.2 1990 248.7 1840 17.1 1920 106.0 2000 281.4 1850 23.2 1930 123.2 2010 308.7 1860 31.4 1940 132.2 (b) Use a calculator to find an exponential model P(t) = Cbt for the data. (Write C in scientific notation. Round the decimal value of C and the value ofb to seven decimal places.) Pm= 0.0000489*(1.0100377)' x )Use your model to predict the population at the 2030 census. (Round your answer to one decimal place.) _(61. 4 x million (d) Use your model to estimate the population in 1975. (Round your answer to one decimal place.)
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