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Verified Answer :

the constant is 0.6yo

Answer:

option B is correct

The constant of variation for the given quadratic equation is, 0.6

Step-by-step explanation:

The quadratic variation is the relationship between the variables x and y such that : \(y=kx^2\);  where k is the quadratic constant variation.

Given quadratic equation are as follow:

\(10y = 6x^2\)             ...[1]

Division property of equality states that you divide the same number to both sides of an equation

Divide equation [1] both side by 10,we get

\(\frac{10y}{10}= \frac{6x^2}{10}\)

On simplifying we get;

\(y=\frac{6}{10}x^2\)   or

\(y= 0.6x^2\)

Now, compare above equation with an equation \(y =kx^2\)  we get the value of k

i.e,  k= 0.6

Therefore, the constant of variation is, 0.6.