Penicillin Assimilation Doctors Studying How the Human Body Assimilates Medication

question 593

Essay

Penicillin assimilation Doctors studying how the human body assimilates medication
inject a patient with penicillin, and then monitor the concentration of the drug in the
patient's blood for several hours. The data are shown in the table. $$\begin{array} { | c | c | } \hline \begin{array} { c } \text { Time elapsed } \\\text { (Hours) }\end{array} & \begin{array} { c } \text { Concentration } \\\text { (Units/cc) }\end{array} \\\hline 1 & 42 \\\hline 2 & 28 \\\hline 3 & 19 \\\hline 4 & 13 \\\hline 5 & 9 \\\hline 6 & 6 \\\hline 7 & 4 \\\hline\end{array}$$
a. Straighten the scatterplot by re-expressing these data and create an appropriate model
for predicting the concentration of penicillin.
b. Use your model to estimate what the concentration of penicillin will be after 8 hours.

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