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If x varies inversely as the square root of y and x=6 when y=9,what is the constant of variation?
A.
[tex] \frac{2}{3} [/tex]
B. 2
C. 18
D. 56
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Sagot :

Quinzengo

INVERSE VARIATION

Direction: Find the constant of variation.

To solve for the constant of variation k, we use the formula [tex]k = x \sqrt{y} [/tex] where we multiply x by [tex] \sqrt{y} [/tex] to find the constant of variation k, since x varies inversely as the square root of y.

[tex]6 = \frac{k}{ \sqrt{9}}[/tex]

[tex]k = (6) \sqrt{9} [/tex]

[tex]k = (6)(3)[/tex]

[tex]k = (18)[/tex]

Final Answer:

The constant of variation is 18.

Learn more about inverse variation: https://brainly.ph/question/9494275 » https://brainly.ph/question/8924304

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