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?

Answer 1

@dan815 @texaschic101 @geerky42 @sammixboo

Answer 2

@DarkMoonZ @Donblue22 @DaWizjr

Answer 3

I know it's c or d

Answer 4

I think c

Answer 5

@clynnew

Answer 6

@dan815 please help

Answer 7

where are the options?

Answer 8

oh oops

Answer 9

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 seconds.

Answer 10

r u still there?

Answer 11

the graph will be a parabola which opens downwards and will have a maximum value
when x = 1 f(x) = -1 + 8 + 2
when x = 4 f(x) = -16 + 32 + 2
these are the heights at these times

Answer 12

so calculate the distance travelled upwards for this period and divide by the time (3 seconds)

Answer 13

wait why -1 and -16? Isn't -4 times -4 16?

Answer 14

so c?

Answer 15

@welshfella

Answer 16

@Phebe @sammixboo @bohotness @geerky42