A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
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
 one year ago
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

This Question is Closed

freckles
 one year ago
Best ResponseYou've already chosen the best response.0average rate of change is given by the change of y over the change of x. \[\frac{ f(5)f(3)}{53} \]

freckles
 one year ago
Best ResponseYou've already chosen the best response.0you are dividing a change of height by a change in time

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0also "rate of change" = speed

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So, I know its either A or B, right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So its either 5 or 3 feet per 35 seconds?

freckles
 one year ago
Best ResponseYou've already chosen the best response.0just used the formula I gave above to figure out between A and B

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I dont understand the formula you gave me.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0f(5)  f(3) = f(2)  2 ??????????????

freckles
 one year ago
Best ResponseYou've already chosen the best response.0...how did you get f(5)f(3)=f(2)?

freckles
 one year ago
Best ResponseYou've already chosen the best response.0f(5)=5^2+5(5)+4 and f(3)=3^2+5(3)+4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So f(5) = 3154 And f(3) = 110

freckles
 one year ago
Best ResponseYou've already chosen the best response.05^2+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
 one year ago
Best ResponseYou've already chosen the best response.025+25 is 0 though so you have 5^2+5(5)+4 can be written as 0+4 which is just 4

freckles
 one year ago
Best ResponseYou've already chosen the best response.0can you try doing f(3)

freckles
 one year ago
Best ResponseYou've already chosen the best response.0f(x)=x^2+5x+4 just plug in 3 where x is

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OH there is a negative, my bad

freckles
 one year ago
Best ResponseYou've already chosen the best response.0f(3)=3^2+5(3)+4 3^2 means 3(3) which is 9 5(3) is 15 f(3)=9+15+4

freckles
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{f(5)f(3)}{53}=\frac{410}{53}\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.0well 3 where the units is distance/time which is a speed unit which just means going down at a speed of 3ft/sec

freckles
 one year ago
Best ResponseYou've already chosen the best response.0and yes a sounds great

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thx for the help! Ima submit my test now, lets see :D

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh 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!
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.