a) The amount of antihistamine in the blood decays exponentially as the kidneys and liver do their job and flush his from the bloodstream. Each hour some 7% of the antihistamine is cleaned out. (In truth, this depends on the age and health of the individual, 7% may be a little high but it is a reasonable number to use.) The model is given by A(t) = A.(0.93)' where Ao is the initial amount of antihistamine in the blood and t represents the time elapsed. (You should understand where this comes from.) %3D Use Excel to graph to the model (using Ao = 100%) and use this to estimate the time taken until 50% of the antihistamine is flushed from the body.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 15T
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a) The amount of antihistamine in the blood decays exponentially as the kidneys and liver do their job and flush his
from the bloodstream. Each hour some 7% of the antihistamine is cleaned out. (In truth, this depends on the age
and health of the individual, 7% may be a little high but it is a reasonable number to use.) The model is given by
A(t) = Ao(0.93)' where Ag is the initial amount of antihistamine in the blood and t represents the time
elapsed. (You should understand where this comes from.)
Use Excel to graph to the model (using A, = 100%) and use this to estimate the time taken until 50% of the
antihistamine is flushed from the body.
Transcribed Image Text:a) The amount of antihistamine in the blood decays exponentially as the kidneys and liver do their job and flush his from the bloodstream. Each hour some 7% of the antihistamine is cleaned out. (In truth, this depends on the age and health of the individual, 7% may be a little high but it is a reasonable number to use.) The model is given by A(t) = Ao(0.93)' where Ag is the initial amount of antihistamine in the blood and t represents the time elapsed. (You should understand where this comes from.) Use Excel to graph to the model (using A, = 100%) and use this to estimate the time taken until 50% of the antihistamine is flushed from the body.
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