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phury

  • 2 years ago

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

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  1. skullpatrol
    • 2 years ago
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    Any ideas?

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

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

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

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

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

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

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

  9. ParthKohli
    • 2 years ago
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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.

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

  11. ParthKohli
    • 2 years ago
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    Use my example?

  12. phury
    • 2 years ago
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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 -.-

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

  14. phury
    • 2 years ago
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    y = 48/x ?

  15. ParthKohli
    • 2 years ago
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    Yay! That's it! :-)

  16. phury
    • 2 years ago
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    ಥ◡ಥ

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