Drug conc. (mcg/cc) 200 180 160 140 120 100 80 60 40 20 0 Time (hr) 0 2 4 6 8 10 12 14 16 18 20 Blood Data for the graph will be recorded every 20 minutes.
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A drug is injected into a patient and the concentration of the drug in the bloodstream is monitored. The drug's concentration, $y,$ in milligrams per liter, after $x$ hours is modeled by $$y=\frac{5 x}{x^{2}+1}$$ The graph of this equation, obtained with a graphing utility, is shown in the figure in a $[0,10,1]$ by $[0,3,1]$ viewing rectangle. Use this information. Use the equation to find the drug's concentration after 3 hours. Then identify the point on the equation's graph that conveys this information.
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A drug is injected into a patient and the concentration of the drug in the bloodstream is monitored. The drug's concentration, $y,$ in milligrams per liter, after $x$ hours is modeled by $$y=\frac{5 x}{x^{2}+1}$$ The graph of this equation, obtained with a graphing utility, is shown in the figure in a $[0,10,1]$ by $[0,3,1]$ viewing rectangle. Use this information. Use the graph of the equation to find after how many hours the drug reaches its maximum concentration. Then use the equation to find the drug's concentration at this time.
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