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Q1 Medication
10 Points
A flu patient is prescribed a course of an antivirus drug. The number of mg of the drug in the
bloodstream t hours after the first dose is taken is given by the function A
200(t)el 41).
A) What is a practical domain for this function? What values of t make sense in the context of
this scenario? How long does a medication typically last? Write your answer using interval
notation
B) Use a graphing calculator to sketch the graph of the function in an appropriate window
Jabeling axes and scale. Draw your graph below. Make sure you can identify important points on
the graph
C) On what interval(s) is the amount of drug in the bloodstream increasing? Decreasing?
D) When is the amount of the drug at a maximum? Label the corresponding point on the graph
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7:40 PM
124/2022

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MrRoyal MrRoyal · Answer 1 · 2022-01-31T13:36:49+01:00

The true statements are:

The equation of the function is given as:

[tex]A(t) = 200e^{-t}[/tex]

This is the value of t that makes sense for function A(t).

To do this, we plot the graph of A(t) (see attachment).

From the attached graph, the values of t that make sense are: 0 to approximately 8

Hence, the practical domain of the function is [0,8)

See attachment for the graph

At no interval does the amount of blood increase.

However, from the graph, the amount of blood decreases at interval [0,8)

This is the vertex (maximum value) of the function

This is the initial value of the function.

Hence, the maximum amount of blood is 200