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If x varies inversely with y, and x = 6 when y = 24, what is x when y = 16?

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MissJindySummergo

Inverse Variation

If x varies inversely with y, and x = 6 when y = 24, what is x when y = 16?

[tex]\underline{\mathcal{INFO:}}[/tex]

  • Inverse variation:  xy = k

[tex]\boxed{\tt{Solution:}}[/tex]

  • x = 6, y = 24
  • xy = k
  • 6 · 24 = k
  • 144 = k

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  • xy = k
  • y = 16, x = ?, k = 144
  • x · 16 = 144
  • x = 144/16
  • x = 9

[tex]\huge\boxed{\tt{ANSWER:}}[/tex]

  • The value of x is 9.

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