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.

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.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter6: Exponential And Logarithmic Functions

Section6.8: Fitting Exponential Models To Data

Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...

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Question

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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