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Penicillin Assimilation Doctors Studying How the Human Body Assimilates Medication

Question 41

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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.

 Time elapsed  Concentration  (Hours)  (Units/cc) 142228319413596674 \begin{array}{|c|c|}\hline \text { Time elapsed }&\text { Concentration } \\\text { (Hours) }&\text { (Units/cc) } \\\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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a. Re-express the data using T...

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