Water coming out of 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? (5 points) 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.
