When drugs are administered into the bloodstream, the amount of the drug present decreases continuously at a constant rate. The amount of a certain drug, Xanaz, in the bloodstream is modeled by the function, where is the initial dosage, and t is the time (in hours) after the initial dose was given. The following chart shows the relationship between the original dose and how much is sti in the system after so much time. Xanax (3mg) amount still in system after X hours 2.5 1.5 0.5 2 10 12 14 16 18 20 22 24 Number of hours after dose was taken After how many hours will there be approximately 1/2 of the original dose in the body? 3. 2. 1. Amount still in the system in mg's

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 52E
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Question
When drugs are administered into the bloodstream, the amount of the drug present
decreases continuously at a constant rate. The amount of a certain drug, Xanaz, in the
bloodstream is modeled by the function, where is the initial dosage, and t is the time (in
hours) after the initial dose was given.
The following chart shows the relationship between the original dose and how much is sti
in the system after so much time.
Xanax (3mg) amount still in system after X hours
2.5
1.5
0.5
2
10
12
14
16
18
20
22
24
Number of hours after dose was taken
After how many hours will there be approximately 1/2 of the original dose in the body?
3.
2.
1.
Amount still in the system in mg's
Transcribed Image Text:When drugs are administered into the bloodstream, the amount of the drug present decreases continuously at a constant rate. The amount of a certain drug, Xanaz, in the bloodstream is modeled by the function, where is the initial dosage, and t is the time (in hours) after the initial dose was given. The following chart shows the relationship between the original dose and how much is sti in the system after so much time. Xanax (3mg) amount still in system after X hours 2.5 1.5 0.5 2 10 12 14 16 18 20 22 24 Number of hours after dose was taken After how many hours will there be approximately 1/2 of the original dose in the body? 3. 2. 1. Amount still in the system in mg's
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