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suppose that y is inversely proportional to square of x. find the const…

Question

suppose that y is inversely proportional to square of x. find the constant of proportionality k if y = 11 when x = 6. k = 396 using the k from above write the variation equation in terms of x. y = \frac{396}{x} question help: video

Explanation:

Step1: Recall inverse square variation

If $y$ is inversely proportional to the square of $x$, the relationship is $y = \frac{k}{x^2}$.

Step2: Confirm k value

We know $k=396$ (already verified). Substitute $k$ into the variation equation.
<Expression>
$y = \frac{396}{x^2}$
</Expression>

Answer:

$y = \frac{396}{x^2}$