Respuesta :

Finding the proportionality constant :

  • y = k/x²
  • 64 = k/(1/4)²
  • k = 4

Finding y when x = 7 :

  • y = 4/(7)²
  • y =  4/49

The value of y is 4/49 when x = 7.

juwairiyah53

[tex]y = \frac{k}{ {x}^{2} } \\ \\ 64 = \frac{k}{ { (\frac{1}{4}) }^{2} } \\ \\ 64 = \frac{k}{ \frac{1}{16} } \\ \\ 64 = 16k \\ \\ k = \frac{64}{16} \\ \\ k = 4.[/tex]

Finding 'y'

[tex]y = \frac{4}{ {7}^{2} } \\ \\ y = \frac{4}{49} .[/tex]

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