SOLUTION: As you know my brother Jim is an avid fisherman. He varies the depth at which he fishes according to the following function: D(t) = -t2 + 10t where t is measured in hours. Estim

Question 319362: As you know my brother Jim is an avid fisherman. He varies the depth at which he fishes according to the following function: D(t) = -t2 + 10t where t is measured in hours. Estimate the time when he fishes at the greatest depth and tell me that depth.
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!

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Is a "quadratic" -- a parabola that opens upwards (because the coefficient associated with the t^2 term is negative). Therefore, the vertex is at the lowest point.
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Axis of symmetry = -b/(2a) = -10/(-2) = 5 hours
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That's the depth -- problem doesn't say what the units are.

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