Question

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 secon

Answer 1

My guess is D. AM I right??

Answer 2

hey andrea welcome to openstudy!: =))
can you please explain why do you think its D ?
bec most important thing is how to get the answer :=))

Answer 3

well I think its D because when you find the average rate of change you get -1 and its not one of the answers but 1 is. And since this is talking about it falling, it should be falling

Answer 4

nice :=))
one last question what's the formula to find average rate :=))

Answer 5

F(b)-f(a) over b-a

Answer 6

so is my original thought correct?

Answer 7

hmm right or f(5)-f(2)
here b =5
a=2
and yes right your answer is correct

Answer 8

thanks :)