Question

Water coming out from a fountain is modeled by the function f(x) = −x2 + 8x + 2 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 = 1 to x = 4 represent?
The water travels an average distance of 3 feet from 1 second to 4 seconds.
The water travels an average distance of 2 feet from 1 second to 4 seconds.
The water rises up with an average speed of 3 feet per second from 1 second to 4 seconds.
The water rises up with an average speed of 2 feet per second from 1 second to 4 second

Answer 1

help pls

Answer 2

so for the first part we are given a final and initial time and we need to find the average rate of change.

Answer 3

f(x) = feet and x = time

Answer 4

so plug in x of 1 and x of 4 separately then solve for f(x)

Answer 5

Then you take the difference of f(x)2 - f(x)1 divide it by the total amount of time. That is your answer.

Answer 6

okay hanks could you show me how its done i have a concetration prob. @raffle_snaffle

Answer 7

no, i can walk you throught it. But you need to do the math

Answer 8

okay