4. Suppose that a person of legal drinking age starts drinking at 9 PM and conti

Question

4. Suppose that a person of legal drinking age starts drinking at 9 PM and continues downing 2 drinks per hour steadily until 1:30 AM. If he's of average size, his BAC would peak at around 0.16 at 2 AM. Studies have shown that the typical person's BAC decreases by 0.015 per hour after he or she stops drinking and blood alcohol peaks. Write a linear equation that describes the drinker's BAC in this case, with y representing BAC and x representing the number of hours after 2 AM. (Hint: How many hours after 2 AM is 2 AM?) 5. When using an equation to model a situation, it's important to recall what specific information the equation provides. Restate your answer to Question 4 in the form of a statement like this: "If x represents then y represents

Explanation / Answer

4) Person's BAC at 2 am = 0.16

It is seen that BAC decreases by 0.015 per hour.

So, y/x = -0.015

If y represents BAC and x represents no of hours after 2 am

SO, combining above facts to form the linear equation

y = -0.015x + 0.16

5) If x represents the number of hours after 2 am, then y = -0.015x + 0.16 represents the drinker's BAC after x number of hours after 2 am.

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