Your department has found that the concentration of the new drug in a patient's bloodstream can be modeled by the equation

C(t) = 5t

t²+ 1

• Identify the concentration of the drug in the patient's bloodstream after 1 hour, 2 hours, and 3 hours. Show all your calculations.
• Graph the asymptote, and identify and interpret the horizontal asymptote of the function.
• Make a convincing argument (1 paragraphs) for the continued production of this new drug.