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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

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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

dumbcow
 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!
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