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Water coming out from a fountain is modeled by the function f(x) = -x2 + 7x + 5 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 = 4 to x = 6 represent?
a. The water falls down with an average speed of 5 feet per second from 4 seconds to 6 seconds.
b. The water falls down with an average speed of 3 feet per second from 4 seconds to 6 seconds.
c. The water travels an average distance of 5 feet from 4 seconds to 6 seconds.
d. The water travels an average distance of 3 feet from 4 seconds to 6 seconds.
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@SeaRocks77 please help
Plug 4 into the function and calculate f(x)
Plug 6 into the function and calculate f(x)
Subtract the two results, you will now have calculated the change in height.
You are given the change in time (t) 4 second to 6 seconds.
divide delta x by delta time and decide if a. or b. is correct.