Question

PLEASE HELP!!!!!!

Answer 1

Water coming out from a fountain is modeled by the function f(x) = -x^2 + 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

average rate of change=
\[\frac{ f(6)-f(4) }{ 6-4}\]

f(6)= -(6^2) +7(6)+5
f(4)= -(4^2) +7(4) + 5

I've given you the formula to find f(6) and f(4). Can you tell me what are the values for f(6), f(4)?

Answer 3

11 and 17?

Answer 4

Good job!

\[\frac{ f(6)-f(4) }{ 2}\]

f(6) = 11
f(4) = 17

Can you plug f(6) and f(4) into the equation, and find an answer?

Answer 5

is it -3?

Answer 6

@study100

Answer 7

Great, you got it :)

Answer 8

so is the answer b or d?

Answer 9

@study100

Answer 10

It should be B, because average rate of change of DISTANCE means SPEED.

Source of info is here:
https://answers.yahoo.com/question/index?qid=20100215120511AARxcJV

"Speed is the rate of change of (DISTANCE)

Answer 11

thanks :D <3

Answer 12

Anytime! :)