anonymous
  • anonymous
suppose that y varies inversely with x, and y = 6 when x = 8. what is an equation for the inverse variation?
Mathematics
schrodinger
  • schrodinger
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skullpatrol
  • skullpatrol
Any ideas?
ParthKohli
  • ParthKohli
Remember that the equation for inverse variation is \(k = xy\).
AravindG
  • AravindG
\[\large y \alpha \dfrac{1}{x}\]

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ParthKohli
  • ParthKohli
Or, equivalently, it can be expressed as\[y = \dfrac{k}{x}\]
ParthKohli
  • ParthKohli
@AravindG use `\propto` instead of `\alpha` ;-)
skullpatrol
  • skullpatrol
Do you know these general forms of an inverse relation?
ParthKohli
  • ParthKohli
\[k = yx\]Here, we can plug the values \(y = 6\) and \(x = 8\). What do you think?
anonymous
  • anonymous
woah o.o i was doing something else. K=6(8)
ParthKohli
  • ParthKohli
I'd give you an example. There's an inverse relation and when \(y = 4\), \(x = 6\). The general equation would be \(k = yx\). find out \(k\), the product of all \(y\)s and the corresponding \(x\)'s.
ParthKohli
  • ParthKohli
So the general equation for my example is \(k = 24\)
ParthKohli
  • ParthKohli
Use my example?
anonymous
  • anonymous
i wish i had time to learnt his but i dont. 20 questions to go and i have to turn this in at @ 2. its 1:22 now -.-
ParthKohli
  • ParthKohli
It's very easy. What's the product of the \(x\) and \(y\) you're given?
anonymous
  • anonymous
y = 48/x ?
ParthKohli
  • ParthKohli
Yay! That's it! :-)
anonymous
  • anonymous
ಥ◡ಥ

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