After t hours, the percentage of alcohol in the blood decays according to the differential equation dP/dt=-0.1P. In many states, it is illegal to drive with a blood alcohol level greater than 0.10%. A police officer tested someone who was involved in an automobile accident and found his blood-alcohol level to be 0.26% at the time of the accident. How long must the person be detained until they can legally drive again?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 13EQ
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After t hours, the percentage of alcohol in the blood decays according to the differential equation dP/dt=-0.1P. In many states, it is illegal to drive with a blood alcohol level greater than 0.10%. A police officer tested someone who was involved in an automobile accident and found his blood-alcohol level to be 0.26% at the time of the accident. How long must the person be detained until they can legally drive again?

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