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

@Bunny12 @JoCelM

Answer 2

can you guys help

Answer 3

So in this one you need to find the average slope between x=2 and x=5

Answer 4

how would i do that

Answer 5

Wait, no it's asking you about height, give me a second to look at it.

Answer 6

okay thanks

Answer 7

you have a height as a function of a time

A Rate of change of a height is a velocity, or speed

Answer 8

im confused

Answer 9

rate of change of f(x) between x = a and x = b :
\[(f(b)−f(a))\div(b-a)\]

Answer 10

the average rate of change is the slope of a secant line through the two points

(2 , f(2)) and (5 , f(5))

Answer 11

evaluate f(3) and f(5) then plug it in.

Answer 12

so it would be C?

Answer 13

I meant f(2) and f(5) lol

Answer 14

ohh so A

Answer 15

plug in 2 and 5 for x in the equation. You can figure it out from there.

Answer 16

so d