The table gives the US population from 1790 to 1860. (a) Use a graphing calculator or
Chapter 3, Problem 3.4.86(choose chapter or problem)
The table gives the US population from 1790 to 1860. (a) Use a graphing calculator or computer to fit an exponentialfunction to the data. Graph the data points and theexponential model. How good is the fit?(b) Estimate the rates of population growth in 1800 and 1850by averaging slopes of secant lines.(c) Use the exponential model in part (a) to estimate the ratesof growth in 1800 and 1850. Compare these estimateswith the ones in part (b).(d) Use the exponential model to predict the population in1870. Compare with the actual population of 38,558,000.Can you explain the discrepancy?
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