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phury

suppose that y varies inversely with x, and y = 6 when x = 8. what is an equation for the inverse variation?

  • one year ago
  • one year ago

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  1. skullpatrol
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    Any ideas?

    • one year ago
  2. ParthKohli
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    Remember that the equation for inverse variation is \(k = xy\).

    • one year ago
  3. AravindG
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    \[\large y \alpha \dfrac{1}{x}\]

    • one year ago
  4. ParthKohli
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    Or, equivalently, it can be expressed as\[y = \dfrac{k}{x}\]

    • one year ago
  5. ParthKohli
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    @AravindG use `\propto` instead of `\alpha` ;-)

    • one year ago
  6. skullpatrol
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    Do you know these general forms of an inverse relation?

    • one year ago
  7. ParthKohli
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    \[k = yx\]Here, we can plug the values \(y = 6\) and \(x = 8\). What do you think?

    • one year ago
  8. phury
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    woah o.o i was doing something else. K=6(8)

    • one year ago
  9. ParthKohli
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    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.

    • one year ago
  10. ParthKohli
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    So the general equation for my example is \(k = 24\)

    • one year ago
  11. ParthKohli
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    Use my example?

    • one year ago
  12. phury
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    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 -.-

    • one year ago
  13. ParthKohli
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    It's very easy. What's the product of the \(x\) and \(y\) you're given?

    • one year ago
  14. phury
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    y = 48/x ?

    • one year ago
  15. ParthKohli
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    Yay! That's it! :-)

    • one year ago
  16. phury
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    ಥ◡ಥ

    • one year ago
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