Drinking and Driving The following table gives the number of drinks and the resulting blood alcohol percent for a 100-lb woman legally considered to be driving under the influence (DUI). (One drink is equal to 1.25 oz of 80-proof liquor, 12 oz of regular beer, or 5 oz of table wine; many states have set 0.08% as the legal limit for driving under the influence.)
a. The average rate of change of the blood alcohol percent with respect to the number of drinks is a constant. What is it?
b. Use the rate of change and one point determined by a number of drinks and the resulting blood alcohol percent to write the equation of a linear model for this data.
Number of Drinks | 2 | 3 | 4 | 5 | 6 | 7 |
Blood Alcohol Percent | 0.09 | 0.135 | 0.18 | 0.225 | 0.27 | 0.315 |
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