Blood Alcohol Levels In many states it is illegal to drive with a blood alcohol level greater than 0. 10% (one part alcohol per 1 ,000 parts blood). Suppose someone who was involved in an automobile accident had blood alcohol tested at 0.20% at the time of the accident. Assume that the percentage of alcohol in the blood decreases exponentially at the rate of 10% per hour. (a) Find the percentage of alcohol in the bloodstream at any value of time t . (b) How long will it be until this person can legally drive?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 27E
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Blood Alcohol Levels In many states it is illegal to drive with a blood alcohol level greater than 0. 10% (one part alcohol per 1 ,000 parts blood). Suppose someone who was involved in an automobile accident had blood alcohol tested at 0.20% at the time of the accident. Assume that the percentage of alcohol in the blood decreases exponentially at the rate of 10% per hour. (a) Find the percentage of alcohol in the bloodstream at any value of time t . (b) How long will it be until this person can legally drive?

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