document.write( "Question 23460: Assume that y varies inversely as x.If y=8 when x =2.5,find x when y=2. \n" ); document.write( "
Algebra.Com's Answer #12256 by Earlsdon(6294)\"\" \"About 
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You write this proportion like this:\r
\n" ); document.write( "\n" ); document.write( "\"y+=+k%2Fx\" Where k is the constant of proportionality.\r
\n" ); document.write( "\n" ); document.write( "First, you need to find the value of k and you can do this because you are told that y = 8 when x = 2.5, so you substitute these values of y (8) and x (2.5) into the above equation and solve for k.\r
\n" ); document.write( "\n" ); document.write( "\"8+=+k%2F2.5\" Multiply both sides by 2.5
\n" ); document.write( "\"%282.5%29%288%29+=+k\"
\n" ); document.write( "\"k+=+20\"\r
\n" ); document.write( "\n" ); document.write( "You can rewrite the first equation with the value of k included.\r
\n" ); document.write( "\n" ); document.write( "\"y+=+20%2Fx\"\r
\n" ); document.write( "\n" ); document.write( "Now solve the problem of finding the value of x when y = 2 by substituting 2 for y in the last equation.\r
\n" ); document.write( "\n" ); document.write( "\"2+=+20%2Fx\" Multiply both sides by x
\n" ); document.write( "\"2x+=+20\" Finally, divide both sides by 2.
\n" ); document.write( "\"x+=+10\" This is the answer.
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