At time t hours after taking the cough suppressant hydrocodone bitartrate, the amount, A, in mg, remaining in the body is given by A = 14(0.76). (a) What was the initial amount taken? mg (b) What percent of the drug leaves the body each hour? % (c) How much of the drug is left in the body 6 hours after the dose is administered? mg (nearest hundreth) (d) How long is it until only 1 mg of the drug remains in the body? hours (nearest tenth)

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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At time t hours after taking the cough suppressant hydrocodone bitartrate, the amount, A, in mg, remaining in the body is given by A = 14(0.76)t.
(a) What was the initial amount taken?
mg
(b) What percent of the drug leaves the body each hour?
%
(c) How much of the drug is left in the body 6 hours after the dose is administered?
mg (nearest hundreth)
(d) How long is it until only 1 mg of the drug remains in the body?
hours (nearest tenth)
Transcribed Image Text:At time t hours after taking the cough suppressant hydrocodone bitartrate, the amount, A, in mg, remaining in the body is given by A = 14(0.76)t. (a) What was the initial amount taken? mg (b) What percent of the drug leaves the body each hour? % (c) How much of the drug is left in the body 6 hours after the dose is administered? mg (nearest hundreth) (d) How long is it until only 1 mg of the drug remains in the body? hours (nearest tenth)
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