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y is directly proportional to x 2 . If y = 8 when x = 2 find y when x = 3


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Answer:

We know that if

          y ∝ x²

∴ y = k · x²

Now  

y = 8   , x = 4

From above y = k · x²

⇒ 8 = k · 4²

∴ k = 1/2

Again ....

x = 5  , y = ?

y = k·x²

y = 1/2 × 5²

 = 25/2 = 12.5

Step-by-step explanation: