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The body absorbs and breaks down different drugs in different ways. Below is a table showing some data for the amount (in mg, rounded to the nearest tenth) of three different drugs remaining in a patient's body t hours after taking a 100 mg dose of each drug. Drug A Drug B Drug C 100 100 100 2 64 88 68.8 3 51.2 59.5 53.2 The description of three different drugs is provided below: • The drug Linophine is broken down in such a way that the amount present in the bloodstream can be modeled using a linearly decreasing function L(t). • The drug Expinephrine is broken down in such a way that the amount present in the blood- stream can be modeled using an exponentially decreasing function E(t). • The drug Powerflo is broken down in such a way that the amount present in the bloodstream can be modeled using a function of the form P(t) = a – 1.5tk which is decreasing and concave down for t > 0. (a) Use the provided information to match each of the drugs described above to one of the columns of data in the table. Make sure you explain why the column of data fits the description of the drug. (That is, the process of elimination is not sufficient reasoning.) (b) Find formulas for L(t), E(t), and P(t).

The body absorbs and breaks down different drugs in different ways. Below is a table showing some data for the amount (in mg, rounded to the nearest tenth) of three different drugs remaining in a patient's body t hours after taking a 100 mg dose of each drug. Drug A Drug B Drug C 100 100 100 2 64 88 68.8 3 51.2 59.5 53.2 The description of three different drugs is provided below: • The drug Linophine is broken down in such a way that the amount present in the bloodstream can be modeled using a linearly decreasing function L(t). • The drug Expinephrine is broken down in such a way that the amount present in the blood- stream can be modeled using an exponentially decreasing function E(t). • The drug Powerflo is broken down in such a way that the amount present in the bloodstream can be modeled using a function of the form P(t) = a – 1.5tk which is decreasing and concave down for t > 0. (a) Use the provided information to match each of the drugs described above to one of the columns of data in the table. Make sure you explain why the column of data fits the description of the drug. (That is, the process of elimination is not sufficient reasoning.) (b) Find formulas for L(t), E(t), and P(t).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 31E
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The body absorbs and breaks down different drugs in different ways. Below is a table showing some data for the amount (in mg, rounded to the nearest tenth) of three different drugs remaining in a patient's body t hours after taking a 100 mg dose of each drug. Drug A Drug B Drug C 100 100 100 2 64 88 68.8 3 51.2 59.5 53.2 The description of three different drugs is provided below: • The drug Linophine is broken down in such a way that the amount present in the bloodstream can be modeled using a linearly decreasing function L(t). • The drug Expinephrine is broken down in such a way that the amount present in the blood- stream can be modeled using an exponentially decreasing function E(t). • The drug Powerflo is broken down in such a way that the amount present in the bloodstream can be modeled using a function of the form P(t) = a – 1.5tk which is decreasing and concave down for t > 0. (a) Use the provided information to match each of the drugs described above to one of the columns of data in the table. Make sure you explain why the column of data fits the description of the drug. (That is, the process of elimination is not sufficient reasoning.) (b) Find formulas for L(t), E(t), and P(t).
Transcribed Image Text:The body absorbs and breaks down different drugs in different ways. Below is a table showing some data for the amount (in mg, rounded to the nearest tenth) of three different drugs remaining in a patient's body t hours after taking a 100 mg dose of each drug. Drug A Drug B Drug C 100 100 100 2 64 88 68.8 3 51.2 59.5 53.2 The description of three different drugs is provided below: • The drug Linophine is broken down in such a way that the amount present in the bloodstream can be modeled using a linearly decreasing function L(t). • The drug Expinephrine is broken down in such a way that the amount present in the blood- stream can be modeled using an exponentially decreasing function E(t). • The drug Powerflo is broken down in such a way that the amount present in the bloodstream can be modeled using a function of the form P(t) = a – 1.5tk which is decreasing and concave down for t > 0. (a) Use the provided information to match each of the drugs described above to one of the columns of data in the table. Make sure you explain why the column of data fits the description of the drug. (That is, the process of elimination is not sufficient reasoning.) (b) Find formulas for L(t), E(t), and P(t).
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