Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

phury

  • 3 years ago

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

  • This Question is Closed
  1. skullpatrol
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Any ideas?

  2. ParthKohli
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Remember that the equation for inverse variation is \(k = xy\).

  3. AravindG
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\large y \alpha \dfrac{1}{x}\]

  4. ParthKohli
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Or, equivalently, it can be expressed as\[y = \dfrac{k}{x}\]

  5. ParthKohli
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @AravindG use `\propto` instead of `\alpha` ;-)

  6. skullpatrol
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Do you know these general forms of an inverse relation?

  7. ParthKohli
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

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

  8. phury
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    woah o.o i was doing something else. K=6(8)

  9. ParthKohli
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    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
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    So the general equation for my example is \(k = 24\)

  11. ParthKohli
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Use my example?

  12. phury
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    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
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    It's very easy. What's the product of the \(x\) and \(y\) you're given?

  14. phury
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    y = 48/x ?

  15. ParthKohli
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yay! That's it! :-)

  16. phury
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    ಥ◡ಥ

  17. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy