# Twenty-one-year-old Max was driving home from a post-football game ...

## Question

Twenty-one-year-old Max was driving home from a post-football game party last night when he was pulled over by the police. The officer said he was driving erratically and asked how many drinks he had had. Max told him that he had only had three beers and explained that he was pretty tired from the game. Then, just to prove he was fine, he offered to count backwards from a hundred. The officer thought he sounded sober and did not make him do it. Max couldn’t believe the officer thought he was driving drunk. However, he had second thoughts about what he did and wondered if drinking three beers after a game is perhaps too much.
A) Is it physiologically possible that Max's driving was impaired even though he had consumed only three beers? Factor in Max's height of 5’8” and weight of 200 pounds (91 kg), as well as that he has just played a long game of football.
B) What other factors influence the rate of alcohol absorption or breakdown that could have affected Max's BAC?
C) How can all of these factors influence a decision about whether or not “three beers after a game is really too much?

## Solution Preview

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First thing we should do is to calculate BAC (blood alcohol concentration), which correlates to level of impairment during the ride. Most of the necessary information are provided, but there are some important information about last night party missing that are necessary to determine if it is physiologically possible that his driving was impaired. Very important factor to calculate BAC while he was driving is the time that has passed since the last drink, because result dramatically changes with every hour (BAC decreases 0.25 per hour). Using standard calculators to measure BAC, assuming that maybe party has started 2 hours before he left home, and that he drank 3 standard drinks (3 beers of 12 oz...

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