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heathernelly

State whether the relationship between the variables in the table is a direct variation, an inverse variation, or neither. If it is a direct or inverse variation, write a function to model it. x=3,9,13,20 y=9,27,39,60 I know it's direct but how do I write a function model to it?

  • one year ago
  • one year ago

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  1. hartnn
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    check : if the product xy is constant for all pairs of x,y then the variation is inverse, but if the ratio y/x is constant for all pairs of x,y then the variation is direct.

    • one year ago
  2. heathernelly
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    but I don't get how to write a function model to it? :/

    • one year ago
  3. hartnn
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    so did u get it as inverse or direct ?

    • one year ago
  4. heathernelly
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    direct? it says in my notebook if both x and y increases then it's direct

    • one year ago
  5. heathernelly
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    ooh, do i just put the numbers into the equation y=k/x?

    • one year ago
  6. hartnn
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    yes, here if you note then, y/x = 9/3 = 3 y/x = 27/9 =3 y/x = 39/13 =3 so , you see everytime the ratio y/x turns out to be = 3 hence your function will also be y/x =3 or y =3x.

    • one year ago
  7. hartnn
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    yes, thats what i did, y= kx for direct . 9=k *3 ---> k=3 so, y=3x :)

    • one year ago
  8. heathernelly
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    I get it now! thank you very much :D xx

    • one year ago
  9. hartnn
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    welcome ^_^

    • one year ago
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