The square of y varies directly as the cube of x. when x = 4, y = 2. which equation can be used to find other combinations of x

Question

2 years ago

7

and y?

1 answer:

marshall27 [118] · Answer 1 · 2023-04-24T04:50:53+03:00

The equation can be used to find other combinations of x and y is y^2 = (1/16)x^3

<h3>How to determine the equation?</h3>

The direct variation from the square of y to the cube of x is represented as:

y^2 = kx^3

Where k represents the variation constant.

When x = 4, y = 2.

So, we have:

2^2 = k * 4^3

This gives

4 = 64k

Divide both sides by 64

k = 1/16

Substitute k = 1/16 in y^2 = kx^3

y^2 = (1/16)x^3

Hence, the equation can be used to find other combinations of x and y is y^2 = (1/16)x^3

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