anonymous
  • anonymous
4 questions help please
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
anonymous
  • anonymous
anonymous
  • anonymous
@ganeshie8

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Hero
  • Hero
@dom4958, what are your thoughts regarding this problem? Are you familiar with the rate of change formula?
anonymous
  • anonymous
not too much @Hero
Hero
  • Hero
The average rate of change of a function \(f(x)\) over an interval between two points \((a, f(a))\) and \((b, f(b))\) is the slope of the secant line connecting the two points: \(\dfrac{f(b) - f(a)}{b - a}\) In this case, \(a = 3\) and \(b = 9\). What you want to do is find \(f(3)\) and \(f(9)\), then plug all the values in to the formula and simplify the expression which will give the average rate of change for this problem.
anonymous
  • anonymous
f(6) over 6?
anonymous
  • anonymous
2 over 2 @Hero ?
anonymous
  • anonymous
@ganeshie8 @Hero
Hero
  • Hero
Just a sec
anonymous
  • anonymous
alright
Hero
  • Hero
|dw:1438671186805:dw|
Hero
  • Hero
If you notice the values along the \(y\) axis represent \(f(x)\) values because for functions \(y = f(x)\). In this case, \(f(3) \approx 47.25\) and \(f(9) \approx 27\).
Hero
  • Hero
\(f(3) \approx 41.25\)
anonymous
  • anonymous
@Hero what would i do with the f(3)≈41.25?
Hero
  • Hero
Start with the formula for average rate of change: \(\dfrac{f(b) - f(a)}{b - a}\). We already acknowledged that \(a = 3\) and \(b = 9\)so plug in those values in place of \(a\) and \(b\): \(\dfrac{f(9) - f(3)}{9 - 3}\). Next plug in the appropriate values for \(f(3)\) and \(f(9)\), then simplify.
anonymous
  • anonymous
-24.75 - 45.25 = 70 over 70. 7 over 7?
Hero
  • Hero
Make sure you have the numbers written correctly. For example 9 - 3 = 6 and f(3) = 41.25
Hero
  • Hero
Also, -a -b = -c.
anonymous
  • anonymous
whats wrong with the ones i wrote isn't that correct? -24.75 - 45.25 = f(70)= f(7) -24.75 - 45.25 = 70= 7
anonymous
  • anonymous
@Hero
Hero
  • Hero
Put it this way, there's a reason why I made the suggestions I made.

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