anonymous
  • anonymous
Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
agent0smith
  • agent0smith
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.
anonymous
  • anonymous
they all equal 4 @agent0smith

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agent0smith
  • agent0smith
Which means each x is multiplied by 4 to get y, so the constant of variation is 4
anonymous
  • anonymous
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
anonymous
  • anonymous
i think that no is not the right answer @agent0smith
agent0smith
  • agent0smith
note that k is the constant of variation, and the constant of variation is 4 from what you worked out above.
anonymous
  • anonymous
so A! @agent0smith
agent0smith
  • agent0smith
Correct :)
anonymous
  • anonymous
thank you so much @agent0smith i really appreciate it <3
agent0smith
  • agent0smith
No prob :)

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