SOLUTION: The amount of medicince in Elizabeth's blood is modeled by the function m(t) - -t2 + 10t,where t is the number of hours after she takes the medicine. How many hours after Elizabet

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Question 936260: The amount of medicince in Elizabeth's blood is modeled by the function m(t) - -t2 + 10t,where t is the number of hours after she takes the medicine. How many hours after Elizabeth takes her medicine is the amount of medicine in her blood the highest ?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert to vertex form to find the maximum value.
m%28t%29=-t%5E2%2B10t
m%28t%29=-%28t%5E2-10t%2B25%29%2B25
m%28t%29=-%28t-5%29%5E2%2B25
The vertex is (5,25).
So the maximum occurs 5 hours after she takes the medicine.