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The equation of the inverse variation of y and ³√x as described is; y = 12/³√x

Inverse variation of variables

According to the question;

  • The variation of y and the cube root of x is inverse, hence it follows that;

  • y = k/³√x.

Therefore, when x = 64 and y = 3.

  • 3 = k/³√64

  • k = 4 × 3 = 12

Ultimately, the equation of variation is; y = 12/³√x

Read more on inverse variation;

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