In monitoring the blood alcohol content of a person, the bloodstream, which is composed of 5L of water, could be idealized to have a single inflow by the absorption of fluids through the small intestine at a rate of 2×10-5 L/s. Blood then is filtered through the kidneys for alcohol and other toxic substances. This mixture is released through the form of urine at a rate of 1.75×10-5 L/s. Upon testing, it was found out that you have a total 6 g of alcohol within your system. You were advised to drink pure water to reduce the amount of alcohol in your body. Assume instantaneous mixing after absorption takes place. How long should your small intestine absorb pure water to reduce the amount of alcohol in your system by [H]g? NOTE: Birthdate = February 06, 2002 NOTE: [H](your birthdate)/10

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Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
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In monitoring the blood alcohol content of a person, the bloodstream, which is composed of 5L of water,
could be idealized to have a single inflow by the absorption of fluids through the small intestine at a rate of
2×10-5 L/s. Blood then is filtered through the kidneys for alcohol and other toxic substances. This mixture
is released through the form of urine at a rate of 1.75×10-5 L/s.
Upon testing, it was found out that you have a total 6 g of alcohol within your system. You were advised to
drink pure water to reduce the amount of alcohol in your body. Assume instantaneous mixing after
absorption takes place. How long should your small intestine absorb pure water to reduce the amount of
alcohol in your system by [H]g?
NOTE: Birthdate = February 06, 2002
NOTE:[H](your birthdate)/10
Transcribed Image Text:In monitoring the blood alcohol content of a person, the bloodstream, which is composed of 5L of water, could be idealized to have a single inflow by the absorption of fluids through the small intestine at a rate of 2×10-5 L/s. Blood then is filtered through the kidneys for alcohol and other toxic substances. This mixture is released through the form of urine at a rate of 1.75×10-5 L/s. Upon testing, it was found out that you have a total 6 g of alcohol within your system. You were advised to drink pure water to reduce the amount of alcohol in your body. Assume instantaneous mixing after absorption takes place. How long should your small intestine absorb pure water to reduce the amount of alcohol in your system by [H]g? NOTE: Birthdate = February 06, 2002 NOTE:[H](your birthdate)/10
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