Subjects algebra

Drug Concentration 772Eb6

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1. The problem asks to find the concentration of the drug 1 hour after ingestion by evaluating the function $$f(x) = \frac{10}{1+x^2}$$ at $$x=1$$. 2. The formula for the concentration is given by $$f(x) = \frac{10}{1+x^2}$$ where $$x$$ is the time in hours. 3. To find $$f(1)$$, substitute $$x=1$$ into the function: $$f(1) = \frac{10}{1+1^2} = \frac{10}{1+1} = \frac{10}{2}$$ 4. Simplify the fraction: $$f(1) = 5$$ 5. This means the concentration of the drug after 1 hour is 5 mg/liter. 6. From the table, the point representing $$f(1)$$ is $$(1,5)$$, which matches our calculation. 7. On the graph, this point is plotted at $$x=1$$ and $$y=5$$, confirming the concentration value visually. Final answer: The concentration at 1 hour is $$5$$ mg/liter, represented by the point $$(1,5)$$ on the graph.