Respuesta :

Given that, y varies indirectly as the square of x, the value of y when x equal 8 is 2.

What is the value of y when x equal 8?

Indirect variation is expressed as;

y ∝ 1/x

Given that;

y ∝ 1/x²

y = k/x²

Where k is the proportionality constant.

Given that;

  • y₁ = 8
  • x₁ = 4
  • x₂ = 8
  • y₂ = ?

First, we determine the proportionality constant.

y = k/x²

8 = k/4²

8 = k/16

k = 128

Now, we find y when x = 8

y = k/x²

y = 128 / 8²

y = 128 / 64

y = 2

Given that, y varies indirectly as the square of x, the value of y when x equal 8 is 2.

Learn more about proportionality here: brainly.com/question/11202658

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