The concentration C (in mg/dl), of a certain antibiotic in a patient's bloodstream is given by C(t)=50 t /(t^2 + 25) where t is the time (in hours) after taking the antibiotic. What is the concentration 5 hours after taking the antibiotic?
Given that the concentration has been modeled by the formula: C(t)=50t/(t^2+25) where: t is time in hours. The concentration after 5 hours will be given by: t= 5 hours plugging the value in the equation we get: C(5)=(50(5))/(5^2+25) simplifying the above we get: C(5)=250/(50)=5 mg/dl
