In Example 5 in the text we modeled the concentration of

Chapter 5, Problem 15

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In Example 5 in the text we modeled the concentration of carbon dioxide in the atmosphere using an exponential growth model with k 0.4%/year and N0 350 ppm, where t 0 corresponds to 1988. (a) A more precise value for N0 is 351.31 ppm. Using this value in the exponential growth model, complete the following table of projected values for the atmospheric carbon dioxide concentrations. Round the answers to one decimal place. Year 1998 (t 10) 2000 (t 12) Atmospheric concentration of carbon dioxide (ppm) Source for data: C. D. Keeling and T. P. Whorf, Scripps Institution of Oceanography (b) The actual values for 1998 and 2000 were 366.7 ppm and 368.4 ppm, respectively. For each of these two years, say whether the exponential model projects too high or two low a value, and compute the percentage error. 16.

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