Help? I don't get what they're asking me to do cx

Question

camerondoherty · Answer

Water coming out from a fountain is modeled by the function: $$f(x) = -x^2 + 6x + 6$$ Where f(x) represents the height, in feet, of the water from the fountain at different times x, in seconds.

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.

camerondoherty · Answer

So I would have to find the average?

solomonzelman · Answer

the average slope between x=2 and x=5, would be, the average amount of water going out between 2nd and 5th second.

solomonzelman · Answer

(average per second)

camerondoherty · Answer

So I find the slope?

jim_thompson5910 · Answer

average rate of change = slope between the two points

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