Question

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.

Answer 1

The problem ask to find the average rate of change of f(x) from x=1 to x=4 and choose among the choices the best statement that could represent the said average rate and the answer would be letter D. The water rises up with an average speed of 2 feet per second form 1 second to 4 seconds. I hope you are satisfied with my answer