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anonymous

  • one year ago

If y =12 when x= 6, find x when y=-24

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  1. anonymous
    • one year ago
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    find a point in a graph?

  2. freckles
    • one year ago
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    You would tell whoever gave this question that there isn't enough info.

  3. freckles
    • one year ago
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    does y vary directly with x maybe?

  4. freckles
    • one year ago
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    does y vary indirectly with x? or you not given anything else?

  5. anonymous
    • one year ago
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    yes, i want to know too..

  6. anonymous
    • one year ago
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    Write an inverse variation equation that relates x and y. Assume that y varies inversely as x. Then solve.

  7. freckles
    • one year ago
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    \[y=\frac{k}{x}\]

  8. freckles
    • one year ago
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    plug in x=6,y=12 to find the constant k

  9. freckles
    • one year ago
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    that is the first step then there is another step afterwards

  10. anonymous
    • one year ago
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    simplify and substitute

  11. anonymous
    • one year ago
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    okay i plugged everything in..

  12. freckles
    • one year ago
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    did you find the constant k?

  13. freckles
    • one year ago
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    that was the whole point in pluggin in your first part (x,y)=(6,12)

  14. freckles
    • one year ago
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    first pair*

  15. anonymous
    • one year ago
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    so it'd be -3 ?

  16. anonymous
    • one year ago
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    the answer is -12?

  17. anonymous
    • one year ago
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    y=kx 12=k(6) 2=k y=2x -24=2x x=-24/2 x=-12

  18. freckles
    • one year ago
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    I think 6(12) isn't -3

  19. anonymous
    • one year ago
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    thats not even a choice.

  20. freckles
    • one year ago
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    \[y=\frac{k}{x} \\ xy=k \\ 6(12) =k\]

  21. freckles
    • one year ago
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    do you know how to multiply 6 and 12?

  22. freckles
    • one year ago
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    if you don't you can think of it as 12+12+12+12+12+12 (the sum of six 12's)

  23. anonymous
    • one year ago
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    yes i do thanks but my teacher checked it and she said its right

  24. freckles
    • one year ago
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    oh you already did the question?

  25. anonymous
    • one year ago
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    i did what you said to start off with but then she emailed me back and set it up

  26. freckles
    • one year ago
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    ok so when you said -3 you weren't talking about k you were talking about the for x when y=-24

  27. anonymous
    • one year ago
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    yes

  28. freckles
    • one year ago
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    \[xy=k \\ 6(12)=k \\ 72=k \\ \text{ yeah } k \text{ is 72} \\ xy=72 \text{ replaced } k \text{ with } 72 \\ \\ \text{ now what is } x \text{ when } y=-24 \\ -24x=72 \] yep final answer is x=-3 when y=-24

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