The accompanying data show rounded mean values for blood

Chapter 2, Problem 2.7.26

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The accompanying data show rounded mean values for blood alcohol concentration (BAC) for people of different weights, according to how many drinks (5 oz wine, 1.25 oz 80-proof liquor, or 12 oz beer) they have consumed. a. Examine the data on BAC for a 100-pound person. Are the data linear? If so, find a formula to express blood alcohol concentration, A, as a function of the number of drinks, D, for a 100-pound person. Blood Alcohol Concentration for Selected Weights Number of Drinks 100 lb 140 lb 180 lb 2 0.075 0.054 0.042 4 0.150 0.107 0.083 6 0.225 0.161 0.125 8 0.300 0.214 0.167 10 0.375 0.268 0.208 b. Examine the data on BAC for a 140-pound person. Are the data linear? If theyre not precisely linear, what might be a reasonable estimate for the average rate of change of blood alcohol concentration, A, with respect to number of drinks, D? Find a formula to estimate blood alcohol concentration, A, as a function of number of drinks, D, for a 140-pound person. Can you make any general conclusions about BAC as a function of number of drinks for all of the weight categories? c. Examine the data on BAC for people who consume two drinks. Are the data linear? If so, find a formula to express blood alcohol concentration, A, as a function of weight, W, for people who consume two drinks. Can you make any general conclusions about BAC as a function of weight for any particular number of drinks?

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