If y varies directly as x2 and y=6 when x=6, find the constant of variation.

The constant of variation is 1/6

Step-by-step explanation:

If we have direct variation the formula is

y = kx^2

We know that y = and x=6

6 = k*6^2

6 = k*36

Divide each side by 36

6/36 = k36/36

1/6 = k

The constant of variation is 1/6

Y=k*x^2

6=k*6^2

6=k*36

K=1/6

As 36*1/6=6

K=constant variation

Therefore the constant variation is 1/6