(Graphing program recommended.) The blood alcohol

Chapter 3, Problem 3.3.15

(choose chapter or problem)

(Graphing program recommended.) The blood alcohol concentration (BAC) limits for drivers vary from state to state, but for drivers under the age of 21 it is commonly set at 0.02. This level (depending upon weight and medication levels) may be exceeded after drinking only one 12-oz can of beer. The formula N 5 6.4 1 0.0625(W 2 100) gives the number of ounces of beer, N, that will produce a BAC legal limit of 0.02 for an average person of weight W. The formula works best for drivers weighing between 100 and 200 lb. a. Write an inequality that describes the condition of too much blood alcohol for drivers under 21 to legally drive. b. Graph the corresponding equation and label the areas that represent legally safe to drive, and not legally safe to drive conditions. c. How many ounces of beer is it legally safe for a 100-lb person to consume? A 150-lb person? A 200-lb person? d. Simplify your formula in part (b) to the standard form y mx b. e. Would you say that 6 oz of beer 1 oz for every 20 lb over 100 lb is a legally safe rule to follow?