A doctor prescribes a 200 mg antibiotic tablet to be taken every eight hours. It is known that the body eliminates 80% of the drug in eight hours. (a) How much of the drug is in the body just after the second tablet is taken? After the third tablet? second tablet x mg third tablet X mg (b) If Q, is the quantity of the antibiotic in the body just after the nth tablet is taken, find an equation that expresses Q, +1 in terms of Qn: Qn + 1 (c) What quantity of the antibiotic remains in the body in the long run? mg

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.4: Solving Quadratic Equations By Factoring
Problem 59HP
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A doctor prescribes a 200 mg antibiotic tablet to be taken every eight hours. It is known that the body eliminates 80% of the drug in eight hours.
(a) How much of the drug is in the body just after the second tablet is taken? After the third tablet?
second tablet
x mg
third tablet
X mg
(b) If Q, is the quantity of the antibiotic in the body just after the nth tablet is taken, find an equation that expresses Q, +1
in terms of Qn:
Qn + 1
(c) What quantity of the antibiotic remains in the body in the long run?
mg
Transcribed Image Text:A doctor prescribes a 200 mg antibiotic tablet to be taken every eight hours. It is known that the body eliminates 80% of the drug in eight hours. (a) How much of the drug is in the body just after the second tablet is taken? After the third tablet? second tablet x mg third tablet X mg (b) If Q, is the quantity of the antibiotic in the body just after the nth tablet is taken, find an equation that expresses Q, +1 in terms of Qn: Qn + 1 (c) What quantity of the antibiotic remains in the body in the long run? mg
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