Question

Did i do this right?

Answer 1

Water coming out from a fountain is modeled by the function f(x) = -x2 + 7x + 5 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 = 4 to x = 6 represent?

The water falls down with an average speed of 5 feet per second from 4 seconds to 6 seconds.

The water falls down with an average speed of 3 feet per second from 4 seconds to 6 seconds.

The water travels an average distance of 5 feet from 4 seconds to 6 seconds.

The water travels an average distance of 3 feet from 4 seconds to 6 seconds.

Answer 2

I did:
f(x) = -x^2 + 7x + 5
f(4) = -4^2 + 7(4) + 5
f(4) = -16 + 28 + 5
f(4) = 17
F(6) = -6^2 + 7(6) + 5
f(6) = -36 + 42 + 5
F(6) = 11
17 - 11 = 6

Answer 3

@AccessDenied

Answer 4

@SithsAndGiggles @ElisaNeedsHelp @RadEn @robtobey @thomaster @ganeshie8 please help me!

Answer 5

yes, you found the f(4) and f(6)
but the question is asking you, what does this average rate from x=4 to x=6 represents?
(I am sure you can answer this question)

Answer 6

Sorry the site lagged and didn't show your answer!
I think it would be C!

Answer 7

yeah, the site is lagging for me as well.
It's C, but I would say it is not "average" distance, it is just "distance" -> falling 5 feet down from x=4 to x=6.