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 th
e 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.
2 answers:
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.
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
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The slope of the line is 1/2.
Step-by-step explanation:
2
x
−
4
y
=
10
(Subtract 2
x
from both sides.)
−
4
y
=
−
2
x
+
10
(Divide both sides by -4.)
y
=
−
2
x
−
4
+
10
−
4 (Simplify.)
y
=
1/2
x
−
5
/2
y=1/2
In 1 meter is 10 decameters. In 14 meters=140 decameters
