document.write( "Question 57200: If y varies inversely as X^2 and y= -8 when x=2, find y if x=3. \n" ); document.write( "

Algebra.Com's Answer #38912 by funmath(2933) $\"\"$ $\"About$

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If y varies inversely as X^2 and y= -8 when x=2, find y if x=3.
\n" ); document.write( "First we need to find the constant of variation.
\n" ); document.write( "y varies inversely as $\"x%5E2\"$ is:
\n" ); document.write( " $\"y=k%2Fx%5E2\"$
\n" ); document.write( "We can find the constant of variation by putting -8 in for y and 2 in for x and solve for k.
\n" ); document.write( " $\"%28-8%29=k%2F%282%29%5E2\"$
\n" ); document.write( " $\"-8=k%2F4\"$
\n" ); document.write( " $\"%284%29%28-8%29=4k%2F4\"$
\n" ); document.write( " $\"-32=k\"$
\n" ); document.write( "Our equation of variation is:
\n" ); document.write( " $\"y=-32%2Fx%5E2\"$
\n" ); document.write( "Now we can find y when x=3:
\n" ); document.write( " $\"y=-32%2F%283%29%5E2\"$
\n" ); document.write( " $\"y=-32%2F9\"$
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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