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MathematicsMathematics
16 March, 20:38

Water coming out from a fountain is modeled by the function f (x) = - x2 + 6x + 6 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 = 2 to x = 5 represent?

The water travels an average distance of 4 feet from 2 seconds to 5 seconds.

The water travels an average distance of 1 foot from 2 seconds to 5 seconds.

The water falls down with an average speed of 2 feet per second from 2 seconds to 5 seconds.

The water falls down with an average speed of 1 foot per second from 2 seconds to 5 seconds.

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Answers (2)
  1. 16 March, 23:24
    0
    The answer to this question is:

    D: The water falls down with an average speed of 1 foot per second from 2 seconds to 5 seconds.
  2. 16 March, 23:32
    0
    F (x) = - x^2 + 6x + 6

    where f (x) represents the height, in feet, of the water from the fountain at different times x, in seconds

    rate of change of a distance is speed

    at x=5, distance = 11

    at x=2, distance = 14

    so average rate of change = (14-11) / (5-2) = 1

    so ans is D
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