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 seconds.

is it c pls help me

1 answer

at x = 4
h = -16 +32 + 2 = 18 ft
at x = 1
h = -1 +8 + 2 = 9 ft

so from x = 1 to x = 4, the water went up 9 feet

the average speed = 9/3 = 3 feet/second
so yes c