(1) After a large number of drinks, a person has a blood alcohol level of 200 mg/dL (milligrams per deciliter). The amount of alcohol in the blood decays exponentially, with one fourth of the alcohol being removed every hour, in the form y = 4(e"), where y is the amount of alcohol in the blood after t hours. Determine how many hours will take for the person's blood alcohol level to decrease to 80 mg/dL?

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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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(1)
After a large number of drinks, a person has a blood alcohol level of 200
mg/dL (milligrams per deciliter). The amount of alcohol in the blood decays
exponentially, with one fourth of the alcohol being removed every hour, in
the form y = Ale"), where y is the amount of alcohol in the blood after t
hours.
Determine how many hours will take for the person's blood alcohol level to
decrease to 80 mg/dL?
Transcribed Image Text:(1) After a large number of drinks, a person has a blood alcohol level of 200 mg/dL (milligrams per deciliter). The amount of alcohol in the blood decays exponentially, with one fourth of the alcohol being removed every hour, in the form y = Ale"), where y is the amount of alcohol in the blood after t hours. Determine how many hours will take for the person's blood alcohol level to decrease to 80 mg/dL?
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