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#35044

applications

polynomials

functions

medium

75 sec

The concentration $C (t)$ , in milligrams per liter, of a certain medication in a patient's bloodstream $t$ hours after it is administered is modeled by the function $C (t) = - 0.05 (t - 4)^{2} + 8.5$ . According to the model, how many hours after administration does the medication reach its maximum concentration in the bloodstream?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.