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anonymous

  • one year ago

Identify which table shows a direct variation. Table 1 x y 2 2 6 12 9 18 Table 2 x y 2 14 6 42 9 63 A. Table 1 B. Table 2 C. Table 1 and Table 2 D. Neither table

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  1. anonymous
    • one year ago
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    @freckles

  2. freckles
    • one year ago
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    ok do for direct variation we want this y=kx where k holds constant so table one we have: x y 2 2 6 12 9 18 --- this says when x=2 we have y=2 (amongst other stuff) so y=kx 2=k(2) this implies k should be 1 if this list of order pairs is to be a direct variation k=1 y=x so y=x should hold for all the other points on your list if it is a direct variation do you have y=x for each line of table 1?

  3. freckles
    • one year ago
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    does 6=12 or 9=18?

  4. anonymous
    • one year ago
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    idk

  5. freckles
    • one year ago
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    so you are not sure if 6 is the same number as 12 or not?

  6. anonymous
    • one year ago
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    i think

  7. freckles
    • one year ago
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    or if 9 is the same number as 18 or not

  8. freckles
    • one year ago
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    9 and 18 aren't the same number 6 and 12 aren't the same number

  9. freckles
    • one year ago
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    I think you know that deep down

  10. freckles
    • one year ago
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    I think you would know the difference between 9 dollars and 18 dollars

  11. freckles
    • one year ago
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    or 6 dollars and 12 dollars

  12. freckles
    • one year ago
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    12 is more than 6 so they can't be equal 18 is more than 9 so they can't be equal

  13. anonymous
    • one year ago
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    i thought it was like a trick Q or sumpthing

  14. freckles
    • one year ago
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    no 6=12 means 6 is 12 which you know is not true

  15. freckles
    • one year ago
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    so the other points on your table do not fit into the equation y=x

  16. freckles
    • one year ago
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    which means table 1 is not a direct variation

  17. anonymous
    • one year ago
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    ok

  18. freckles
    • one year ago
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    ok again a direct variation is of the form y=kx where k holds constant

  19. freckles
    • one year ago
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    the first point listed on table 2 is (2,14)

  20. freckles
    • one year ago
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    find k such that (2,14) is on y=kx

  21. freckles
    • one year ago
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    just like I did before by pluggin in 14 for y and 2 for x

  22. anonymous
    • one year ago
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    ok

  23. freckles
    • one year ago
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    14=k(2) or 14=2k can you solve this for k?

  24. anonymous
    • one year ago
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    what is k

  25. freckles
    • one year ago
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    k is the constant of variation

  26. freckles
    • one year ago
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    k holds constant no matter what ordered pair (x,y) we have

  27. anonymous
    • one year ago
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    i dont get it

  28. freckles
    • one year ago
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    if 14=2k then k=7

  29. freckles
    • one year ago
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    y=kx k=7 so the equation is y=7x

  30. freckles
    • one year ago
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    does equation hold for the other points on your table?

  31. anonymous
    • one year ago
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    yes??

  32. freckles
    • one year ago
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    so it is a direct variation Table 1 x y 2 2 6 12 9 18 |dw:1435880449113:dw| Table 2 x y 2 14 6 42 9 63 |dw:1435880472148:dw|

  33. freckles
    • one year ago
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    |dw:1435880497051:dw||dw:1435880509906:dw|

  34. freckles
    • one year ago
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    when I said holds constant that is the same thing as saying it doesn't change; it is a number that remains the same through the multiplication (and I say multiplication because we are talking about direct variation)

  35. freckles
    • one year ago
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    T1 is meant to say table 1 TB2 is meant to say table 2 if you weren't sure where my abbreviations came from

  36. anonymous
    • one year ago
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    ok

  37. freckles
    • one year ago
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    any questions do you get it now ?

  38. anonymous
    • one year ago
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    yes so the ans is

  39. anonymous
    • one year ago
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    D

  40. freckles
    • one year ago
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    I gave you the answer above :p

  41. freckles
    • one year ago
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    no I did not say that at all

  42. anonymous
    • one year ago
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    u did

  43. freckles
    • one year ago
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    I did not say D

  44. anonymous
    • one year ago
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    where

  45. freckles
    • one year ago
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    |dw:1435880815810:dw||dw:1435880837282:dw|

  46. anonymous
    • one year ago
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    so table 2 thanks

  47. freckles
    • one year ago
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    yes but do you see why? x*k=y where k remained the same in table 2 but k did not remain the same in table 1

  48. anonymous
    • one year ago
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    yes thanks

  49. freckles
    • one year ago
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    in order for k to be a constant by definition of constant it has to remain the same

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