document.write( "Question 196191: write a function that models each variation.\r
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Algebra.Com's Answer #147067 by Edwin McCravy(20060)\"\" \"About 
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write a function that models each variation.
\n" ); document.write( "x=3 and y=12 when z=2. z varies directly with y and inversely with x.
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document.write( "The formula for all variation problems is: \r\n" );
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document.write( "                     k*{DIRECTLY OR JOINTLY VARIABLE(s) (or 1 if none)}\r\n" );
document.write( "VARYING VARIABLE = -----------------------------------------------------\r\n" );
document.write( "                         {INVERSELY VARIABLE(s) (or 1 if none)}\r\n" );
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document.write( "The varying variable is z, which goes on the left side.\r\n" );
document.write( "The directly variable is y, which goes in the numerator on the right.\r\n" );
document.write( "The inversely variable is x, which goes in the denominator on the right.\r\n" );
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document.write( "                      \r\n" );
document.write( "               \"z+=+k%2Ay%2Fx\"\r\n" );
document.write( "                      \r\n" );
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document.write( "All we need do is find constant k and rewrite this \r\n" );
document.write( "substituting what we get for constant k.\r\n" );
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document.write( "To get k, we substitute the data given, x=3, y=12, z=2.\r\n" );
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document.write( "              \"2+=+k%2A12%2F3\"\r\n" );
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document.write( "              \"2+=+k%2A4\"\r\n" );
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document.write( "              \"2+=+4k\"\r\n" );
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document.write( "              \"2%2F4+=+k\"\r\n" );
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document.write( "              \"1%2F2+=+k\"\r\n" );
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document.write( "Now we rewrite  \r\n" );
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document.write( "              \"z+=+k%2Ay%2Fx\" \r\n" );
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document.write( "substituting \"1%2F2\" for constant \"k\"\r\n" );
document.write( "                      \r\n" );
document.write( "               \"z+=+%28%281%2F2%29y%29%2Fx\"\r\n" );
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document.write( "Simplify by multiplying top and bottom on the right \r\n" );
document.write( "side by 2:\r\n" );
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document.write( "               \"z+=+%282%2A%281%2F2%29y%29%2F%282%2Ax%29\"\r\n" );
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document.write( "               \"z+=+%28cross%282%29%2A%281%2Fcross%282%29%29y%29%2F%282%2Ax%29\"\r\n" );
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document.write( "               \"z+=+y%2F%282x%29\"\r\n" );
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document.write( "Edwin

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