The concentration c (in mg/dl), of an antibiotic in a patient’s bloodstream per hour, t, is given by: c(t) = (55t)/(t^2+25) in order for the antibiotic to be effective, 5 or more mg/dl must be present in the bloodstream. when do you have to take the antibiotic after the initial dose? solve algebraically and graphically.

We want the concentration of the antibiotic to be at a minimum of 5 mg/dL, so we want to find the time interval, where , for which .

We have

Completing the square, we get

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