SOLUTION: Can someone help me please? The average number of diners in a restaurant can be modeled with the function D(t)= -2t^2+20t+15 , where t is the number of hours after 8:00 A.M. A

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: Can someone help me please? The average number of diners in a restaurant can be modeled with the function D(t)= -2t^2+20t+15 , where t is the number of hours after 8:00 A.M. A      Log On

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Question 80427: Can someone help me please?
The average number of diners in a restaurant can be modeled with the function
D(t)= -2t^2+20t+15 , where t is the number of hours after 8:00 A.M. At what time is the number of diners at its maximum?
thanks so much!
Answer by stanbon(48546) About Me  (Show Source):
You can put this solution on YOUR website!
The average number of diners in a restaurant can be modeled with the function
D(t)= -2t^2+20t+15 , where t is the number of hours after 8:00 A.M. At what time is the number of diners at its maximum?
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You have a quadratic with a=-2 , b=20
Max occurs when t=-b/2a = -20/(2*-2)= 5 hurs
5hrs after 8:00AM is 1:PM
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Cheers,
Stan H.