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?

Question

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?

anonymous · Answer

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