The US Census Bureau began recording census data in 1790.

Chapter , Problem 11.7.26

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The US Census Bureau began recording census data in 1790. Table 11.36 gives the population of the US in millions from 1790 to 1860.25 (a) With t = 0 representing the number of years since 1790, fit an exponential function to the data. (b) The 1800 census value is 5.3 million. Find the population predicted by your function for 1800. gave a prediction of 5.5 million using the data for 1650 to 1750. Using the two data sets, explain the difference in predicted values. (c) Use your function to project the population of the US in 2010. Is this prediction reasonable? Table 11.36 Year 1790 1800 1810 1820 Population 3.929 5.308 7.240 9.638 Year 1830 1840 1850 1860 Population 12.861 17.063 23.192 31.443

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