(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

(a) Use a graphing calculator or computer to fit an exponential function to the data. Graph the data points and the exponential model. How good is the fit?

(b) Estimate the rates of population growth in 1800 and 1850 by averaging slopes of secant lines.

(c) Use the exponential model in part (a) to estimate the rates of growth in 1800 and 1850. Compare these estimates with the ones in part (b).

(d) Use the exponential model to predict the population in 1870. Compare with the actual population of 38,558,000. Can you explain the discrepancy?

2. Relevant equations

YearPopulation

1790 3,929,000

1800 5,308,000

1810 7,240,000

1820 9,639,000

1830 12,861,000

1840 17,063,000

1850 23,192,000

1860 31,443,000

3. The attempt at a solution

I understand part B, you would just do the population in 1800 - population in 1790 all divded by 1800 - 1790... etc. etc..

However, part A and consequently parts C and D are confusing me...

Any help would be GREATLY appreciated.

Thanks,

Bob

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# Derivative Word Problem - US Population

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