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# proportion

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Given that y is inversely proportional to x^2 and x is always positive. If y=27 when x = 6, calculate the value of x when y=8.

Jan 6, 2021

#1
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6^2*27=972

8*x^2=972

x=sqrt(121.5)

Jan 6, 2021
#2
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AVEN JOHNNNNNNNNN

CoolStuffYT  Jan 6, 2021
#3
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So inversely proportional means that $$x^2y$$ is always the same, and $$6\times6=36, 36\times27=972$$$$972/8=121.5$$, so x is the square root of 121.5

Jan 6, 2021
#4
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Yes inverse proportion means the product is the same while direct proportion means the quotient is the same.

Jan 6, 2021