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

water travels an average distance of 3 feet from 1 second to 4 seconds.
water travels an average distance of 2 feet from 1 second to 4 seconds.
water rises up with an average speed of 3 feet per second from 1 second to 4 seconds.
water rises up with an average speed of 2 feet per second from 1 second to 4 second @Tootles143

Question

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

 water travels an average distance of 3 feet from 1 second to 4 seconds.
water travels an average distance of 2 feet from 1 second to 4 seconds.
  water rises up with an average speed of 3 feet per second from 1 second to 4 seconds.
  water rises up with an average speed of 2 feet per second from 1 second to 4 second @Tootles143