Water coming out from a fountain is modeled by the function f (x) = - x2 + 5x + 4 where f (x) represents the height, in feet, of the water from the fountain at different times x, in seconds.

What does the average rate of change of f (x) from x = 3 to x = 5 represent?

Question

Mathematics

Neil Wolfe

31 December, 23:41

Water coming out from a fountain is modeled by the function f (x) = - x2 + 5x + 4 where f (x) represents the height, in feet, of the water from the fountain at different times x, in seconds.

What does the average rate of change of f (x) from x = 3 to x = 5 represent?

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Answers (1)

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Romeo · Answer 1

F (x) = - x² + 5 x + 4

between x = 3 and x = 5:

f (3) = - 3² + 5 · 3 + 4 = - 9 + 15 + 4 = 10

f (5) = - 5² + 5 · 5 + 4 = - 25 + 25 + 4 = 4

Average rate of change:

(4 - 10) / (5 - 3) = - 6 : 2 = - 3 feet / sec

Water coming out from a fountain is modeled by the function f (x) = - x2 + 5x + 4 where f (x) represents the height, in feet, of the water from the fountain at different times x, in seconds.What does the average rate of change of f (x) from x = 3 to x = 5 represent?

Water coming out from a fountain is modeled by the function f (x) = - x2 + 5x + 4 where f (x) represents the height, in feet, of the water from the fountain at different times x, in seconds.

What does the average rate of change of f (x) from x = 3 to x = 5 represent?