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anonymous

  • one year ago

The pair of points is on the graph of an inverse variation. Find the missing value. (2, 8) and (x, 3)

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  1. anonymous
    • one year ago
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    it can be 2, 16 5 1/3 or 12

  2. freckles
    • one year ago
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    well y varies inversely with x means for constant k we have: \[y=\frac{k}{x}\] first step is to plug in (2,8) to find k

  3. anonymous
    • one year ago
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    ok

  4. freckles
    • one year ago
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    then after you find k you can find x for when y is 3

  5. anonymous
    • one year ago
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    how would i find K?

  6. freckles
    • one year ago
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    by pluggin (2,8) as suggested above

  7. anonymous
    • one year ago
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    ok. so y= 2,8/k?

  8. freckles
    • one year ago
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    (2,8) tells us when x=2 that y=8

  9. anonymous
    • one year ago
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    ok so 8 = K/2

  10. freckles
    • one year ago
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    solve for k or i guess you are calling it K solve for K

  11. anonymous
    • one year ago
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    how do i find k?

  12. freckles
    • one year ago
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    by solving 8=k/2

  13. anonymous
    • one year ago
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    so k =4?

  14. freckles
    • one year ago
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    notice you can just multiply both sides by 2

  15. freckles
    • one year ago
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    hmm 4/2 =8 is not true

  16. anonymous
    • one year ago
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    so k is 2?

  17. freckles
    • one year ago
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    2/2=8 is not true

  18. anonymous
    • one year ago
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    16/2?

  19. freckles
    • one year ago
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    have you tried doing what I asked multiply both sides by 2

  20. freckles
    • one year ago
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    8=k/2 multiply both sides by 2 2(8)=k

  21. anonymous
    • one year ago
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    k=16

  22. freckles
    • one year ago
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    and as you see 16/2=8 is true yes k=16

  23. freckles
    • one year ago
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    \[y=\frac{16}{x}\]

  24. freckles
    • one year ago
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    now the question is to find x for when y=3

  25. anonymous
    • one year ago
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    so the answer is B?

  26. anonymous
    • one year ago
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    right?

  27. freckles
    • one year ago
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    have you found x for when y=3 yet?

  28. anonymous
    • one year ago
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    no...

  29. freckles
    • one year ago
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    well that is what the question ask you to do

  30. freckles
    • one year ago
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    it says to find x in the given ordered pair (x,3)

  31. freckles
    • one year ago
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    (x,3) says what is x for when y=3

  32. anonymous
    • one year ago
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    ok (2,3)

  33. freckles
    • one year ago
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    you already found the equation above

  34. freckles
    • one year ago
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    you just need to input the y is 3

  35. freckles
    • one year ago
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    and solve for x

  36. anonymous
    • one year ago
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    3= 16/8?

  37. freckles
    • one year ago
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    do you remember you found k was 16 so I replaced the k with 16 got you \[y=\frac{16}{x}\] re[place y with 3 and solve for x

  38. anonymous
    • one year ago
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    how do i solve X?

  39. freckles
    • one year ago
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    by solving the equation 3=16/x for x

  40. anonymous
    • one year ago
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    so that would be 5.3?

  41. freckles
    • one year ago
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    close in decimal form that would be 5.33333333333333333333 but I think they wanted you to write it in mix fraction form not decimal form

  42. anonymous
    • one year ago
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    what would that be as a mix fraction?

  43. freckles
    • one year ago
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    so you never wrote improper fractions as mix fractions before?

  44. freckles
    • one year ago
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    16/3 3 goes into 16, 5 times with a remainder of 1 \[\frac{16}{3}=5\frac{1}{3} \]

  45. anonymous
    • one year ago
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    OHH

  46. anonymous
    • one year ago
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    So the answer is D?

  47. freckles
    • one year ago
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    I don't know whatever choice is 5 and 1/3

  48. anonymous
    • one year ago
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    ok

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