Question

The value of y varies directly as the square of x and y=-12 when x=2. What is y when x=-4?

Answer 1

The value of y varies directly as the square of x and y = -12 when x = 2 then the value of y when x = -4 exists y = 24.

What is meant by direct variation?

When two variable quantities contain a constant ratio, their relationship exists comprehended a direct variation. It exists said that one variable varies directly as the other. The formula for direct variation is y = kx, where k exists the constant of variation.

The constant value (often written k) relating amounts that rise or fall uniformly together. It exists the ratio of the amounts y and x:

k = y/x.

Put another way: y = kx.

Accordingly, the equation has the form y = kx, where k may be any number.

Substituting y = -12 when x = 2, we get

-12 = k × 2

simplifying the above equation, we get

⇒ k = -6

Therefore, the required equation exists y = -6x.

The value of y when x = -4 is y = -6 × -4 = 24.

To learn more about direct variation refer to:

brainly.com/question/6499629

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