Water is coming out of a fountain is modeled by the function f(x)=-x^2+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?
a. The water travels an average distance of 3 feet from 1 second to 4 seconds. b. The water travels an average distance of 2 feet from 1 second to 4 seconds. c. The water rises up with an average speed of 3 feet per second from 1 second to 4 seconds.
d. The water rises up with an average speed of 2 feet per second from 1 second to 4 seconds.