saraabahmistilliya saraabahmistilliya

14-10-2016
Mathematics

Answered

Write the quadratic variation equation for the relationship: y varies directly with x2 and y = 36 when x = 3.

Ay = ¼x^2

By = 12x

Cy = 4x^2

Dy = x^2 + 25

Verified Answer :

JcAlmighty JcAlmighty

20-10-2016

The answer is C. y = 4x^2

y varies directly with x2 can be expressed as:
y = kx²

When x = 3, they y = 36. And you just need to replace it in the equation from above:
36 = k3²
36 = k*9
⇒ k =36/9 = 4

So, the related equation is
y = 4x²

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