SOLUTION: What is the average rate of change of the height of the water in a river if the function h open parentheses x close parentheses equals minus x squared plus 4 x plus 10 describes th

Question 1096981: What is the average rate of change of the height of the water in a river if the function h open parentheses x close parentheses equals minus x squared plus 4 x plus 10 describes the height of the water for time x in hours and h(x) in feet on the interval x = 0 to x = 3?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
h(x)=-x^2+4x+10
average rate of change of a function between a and b
[f(b)-f(a)]/(b-a)
=(-9+12+10)-10 is numerator, and that is 3
=3-0=3 denominator
so average rate of change of the height is 1 foot per hour.

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