Water coming out from a fountain is modeled by the function f(x) = -x2 + 5x + 4 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 = 3 to x = 5 represent?
The water falls down with an average speed of 3 feet per second from 3 seconds to 5 seconds.
The water falls down with an average speed of 5 feet per second from 3 seconds to 5 seconds.
The water travels an average distance of 3 feet from 3 seconds to 5 seconds.
The water travels an average distance of 5 feet from 3 seconds

- anonymous

- schrodinger

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your **free** account and access **expert** answers to this

and **thousands** of other questions

- freckles

average rate of change is given by the change of y over the change of x.
\[\frac{ f(5)-f(3)}{5-3} \]

- freckles

you are dividing a change of height by a change in time

- anonymous

So x = 2?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- dumbcow

also "rate of change" = speed

- anonymous

So, I know its either A or B, right?

- dumbcow

yes

- anonymous

So its either 5 or 3 feet per 3-5 seconds?

- freckles

just used the formula I gave above to figure out between A and B

- anonymous

I dont understand the formula you gave me.

- anonymous

f(5) - f(3) = f(2)
-----
2
??????????????

- freckles

...how did you get f(5)-f(3)=f(2)?

- freckles

f(5)=-5^2+5(5)+4
and
f(3)=-3^2+5(3)+4

- anonymous

So f(5) = 3154
And f(3) = 110

- freckles

-5^2+5(5)+4
------
first we know 5^2=5(5)=25
so
-5^2+5(5)+4
can be written as
-25+25+4

- freckles

-25+25 is 0 though
so you have
-5^2+5(5)+4
can be written as
0+4
which is just 4

- freckles

can you try doing f(3)

- anonymous

f(3) = 25?

- freckles

are you guessing?

- anonymous

No

- freckles

f(x)=-x^2+5x+4
just plug in 3 where x is

- anonymous

OH there is a negative, my bad

- freckles

f(3)=-3^2+5(3)+4
3^2 means 3(3) which is 9
5(3) is 15
f(3)=-9+15+4

- anonymous

so 10?

- freckles

\[\frac{f(5)-f(3)}{5-3}=\frac{4-10}{5-3}\]

- anonymous

so its 3

- anonymous

So the answer is a?

- freckles

well -3 where the units is distance/time which is a speed unit
which just means going down at a speed of 3ft/sec

- freckles

and yes a sounds great

- anonymous

Thx for the help! Ima submit my test now, lets see :D

- anonymous

Oh no! I got a %62 on my test :(. 5 questions wrong out of 13. But the one you helped me with was right, ty so much!

Looking for something else?

Not the answer you are looking for? Search for more explanations.