document.write( "Question 692965: y varies jointly as m and the square of n and inversly as p
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Algebra.Com's Answer #427180 by Edwin McCravy(20060) $\"\"$ $\"About$

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y varies jointly as m and the square of n and inversly as p
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document.write( "For all proportion problems, start with this:\r\n" );
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document.write( "Varying           \"directly\" or product of \"jointlys\" or 1 if none \r\n" );
document.write( "quantity  = k · ----------------------------------------------------------\r\n" );
document.write( "                inversely variable or product of \"inverselys\" or 1 if none\r\n" );
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document.write( "In this problem the varying quantity is y.\r\n" );
document.write( "the \"jointlys\" are m and n².  We have one inversely, p.  So we have m·n² \r\n" );
document.write( "on top and p on the bottom:\r\n" );
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document.write( "y = k·\r\n" );
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document.write( ">>...y=15 when m=2, n=1, and p=6....<<\r\n" );
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document.write( "Substitute these values:\r\n" );
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document.write( "15 = k·\r\n" );
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document.write( "15 = k·\r\n" );
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document.write( "15 = k·\r\n" );
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document.write( "15 = k·\r\n" );
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document.write( "Multiply both sides by 3\r\n" );
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document.write( "45 = k\r\n" );
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document.write( "Now substitute 45 for k in the first equation:\r\n" );
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document.write( "y = 45·\r\n" );
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document.write( ">>...Find y when m=3, n=4 and p=10...<<\r\n" );
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document.write( "Substitute those values\r\n" );
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document.write( "y = 45·\r\n" );
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document.write( "y = 45·\r\n" );
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document.write( "y = 216\r\n" );
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document.write( "Edwin

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