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 sec

Answer 1

@agent0smith

Answer 2

Rate of change here is the change in height, over the change in seconds

Answer 3

ie feet per second.