Water coming out from a fountain is modeled by the function f (x) = - x2 + 6x + 6 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 = 2 to x = 5 represent?

The water travels an average distance of 4 feet from 2 seconds to 5 seconds.

The water travels an average distance of 1 foot from 2 seconds to 5 seconds.

The water falls down with an average speed of 2 feet per second from 2 seconds to 5 seconds.

The water falls down with an average speed of 1 foot per second from 2 seconds to 5 seconds.

Question

Mathematics

Guest

3 December, 22:09

Water coming out from a fountain is modeled by the function f (x) = - x2 + 6x + 6 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 = 2 to x = 5 represent?

The water travels an average distance of 4 feet from 2 seconds to 5 seconds.

The water travels an average distance of 1 foot from 2 seconds to 5 seconds.

The water falls down with an average speed of 2 feet per second from 2 seconds to 5 seconds.

The water falls down with an average speed of 1 foot per second from 2 seconds to 5 seconds.

+3

Answers (2)

Know the Answer?

Edward Rubio · Answer 1

F (x) = - x^2 + 6x + 6

where f (x) represents the height, in feet, of the water from the fountain at different times x, in seconds

rate of change of a distance is speed

at x=5, distance = 11

at x=2, distance = 14

so average rate of change = (14-11) / (5-2) = 1

so ans is D

Landen Branch · Answer 2

The answer to this question is:

D: The water falls down with an average speed of 1 foot per second from 2 seconds to 5 seconds.