As you know, the consumption of opioids in the US has been matter of great medical concern. A study has suggested that the consumption of drugs starting 3 years ago, can be modeled by the equation: 10000t? + 280 t3 + 7 Where C= consumption in thousands of drug pills t = time in years, starting 3 years ago Discuss the proposed mathematical model by addressing the following points shown by the model: a) Determine whether the consumption of drugs is, at present, still increasing or has started to decrease. b) Based on your finding of aspect a), when "did" or "will" the consumption of drugs peak? c) Also, based on your finding of aspect a), what would you report be in reference to the rate of consumption at present? Use a graph utility to plot the function and illustrate the discussion.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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As you know, the consumption of opioids in the US has been matter of great medical concern. A
study has suggested that the consumption of drugs starting 3 years ago, can be modeled by the
equation:
10000t?
+ 280
t3 + 7
Where
C= consumption in thousands of drug pills
t = time in years, starting 3 years ago
Discuss the proposed mathematical model by addressing the following points shown by the
model:
a) Determine whether the consumption of drugs is, at present, still increasing or has started to
decrease.
b) Based on your finding of aspect a), when "did" or "will" the consumption of drugs peak?
c) Also, based on your finding of aspect a), what would you report be in reference to the rate of
consumption at present?
Use a graph utility to plot the function and illustrate the discussion.
Transcribed Image Text:As you know, the consumption of opioids in the US has been matter of great medical concern. A study has suggested that the consumption of drugs starting 3 years ago, can be modeled by the equation: 10000t? + 280 t3 + 7 Where C= consumption in thousands of drug pills t = time in years, starting 3 years ago Discuss the proposed mathematical model by addressing the following points shown by the model: a) Determine whether the consumption of drugs is, at present, still increasing or has started to decrease. b) Based on your finding of aspect a), when "did" or "will" the consumption of drugs peak? c) Also, based on your finding of aspect a), what would you report be in reference to the rate of consumption at present? Use a graph utility to plot the function and illustrate the discussion.
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