Question

Please Help Me!
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?

a. The water falls down with an average speed of 5 feet per second from 4 seconds to 6 seconds.
b. The water falls down with an average speed of 3 feet per second from 4 seconds to 6 seconds.
c. The water travels an average distance of 5 feet from 4 seconds to 6 seconds.
d. The water travels an average distance of 3 feet from 4 seconds to 6 seconds.

Answer 1

@SeaRocks77 please help

Answer 2

@SolomonZelman

Answer 3

Plug 4 into the function and calculate f(x)
Plug 6 into the function and calculate f(x)
Subtract the two results, you will now have calculated the change in height.
You are given the change in time (t) 4 second to 6 seconds.
divide delta x by delta time and decide if a. or b. is correct.

Answer 4

@radar do i subtract the answer for f(6) by the answer of f(4)

Answer 5

@radar do i subtract the answer for f(6) by the answer of f(4)

Answer 6

@pooja195

Answer 7

Sorry @Alex_Mattucci I had to go to the Abbey. Subtract as follows: [f(4) - f(6)]/(6-4).

Answer 8

Here is my calculations f(4) = 17 Feet
f(6) = 11 feet