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ihavemathquestions

Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.

  • one year ago
  • one year ago

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  1. ihavemathquestions
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    • one year ago
  2. agent0smith
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    You can either use the slope formula, \[m = \frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\] or more simply, because it's only of the form y = mx, just divide each y term by it's x term, and check they all give the same value ie 24/6 = 72/18 = 216/54 = 648/162 = Check they all equal the same number.

    • one year ago
  3. ihavemathquestions
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    they all equal 4 @agent0smith

    • one year ago
  4. agent0smith
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    Which means each x is multiplied by 4 to get y, so the constant of variation is 4

    • one year ago
  5. ihavemathquestions
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    hmm. ok so how would i know which answer is right? yes; k = 4; y = 4x yes; k = 3; y = 3x yes; k = 6; y = 6x no

    • one year ago
  6. ihavemathquestions
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    i think that no is not the right answer @agent0smith

    • one year ago
  7. agent0smith
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    note that k is the constant of variation, and the constant of variation is 4 from what you worked out above.

    • one year ago
  8. ihavemathquestions
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    so A! @agent0smith

    • one year ago
  9. agent0smith
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    Correct :)

    • one year ago
  10. ihavemathquestions
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    thank you so much @agent0smith i really appreciate it <3

    • one year ago
  11. agent0smith
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    No prob :)

    • one year ago
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