document.write( "Question 79979: Is the relationship between the varibles in the table a direct variation, an in verse or neither? If it is a direct inverse write a function to model it.\r
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\n" ); document.write( "Y= -11 4 13 32 \n" ); document.write( "

Algebra.Com's Answer #57345 by Edwin McCravy(20055) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Is the relationship between the varibles in the table a direct variation, \r\n" );
document.write( "an inverse or neither? If it is a direct inverse write a function to model\r\n" );
document.write( "it. \r\n" );
document.write( "X=  -2 3  5  6 \r\n" );
document.write( "Y= -11 4 13 32 \r\n" );
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document.write( "If it is a direct variation, then if we substitute all of them \r\n" );
document.write( "in the equation\r\n" );
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document.write( "Y = kK\r\n" );
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document.write( "the value of k will be the same.\r\n" );
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document.write( "-11 = k(-2)\r\n" );
document.write( "-11 = -2k\r\n" );
document.write( " = k\r\n" );
document.write( " = k\r\n" );
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document.write( "4 = k(3)\r\n" );
document.write( "4 = 2k\r\n" );
document.write( " = k\r\n" );
document.write( " = k\r\n" );
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document.write( "So it can't be a direct variation because those two values\r\n" );
document.write( "of k are not the same.  But we might as well\r\n" );
document.write( "see what the other values of k are:\r\n" );
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document.write( "13 = k(5)\r\n" );
document.write( "13 = 5k\r\n" );
document.write( " = k\r\n" );
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document.write( " = k\r\n" );
document.write( " = k\r\n" );
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document.write( "They certainly aren't all the same, so this is not a direct variation.\r\n" );
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document.write( "If it is an inverse variation, then if we substitute all of them in the\r\n" );
document.write( "equation\r\n" );
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document.write( "Y = \r\n" );
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document.write( "the value of k will be the same.\r\n" );
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document.write( "-11 = \r\n" );
document.write( " 22 =  k\r\n" );
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document.write( "4 = \r\n" );
document.write( "12 = k\r\n" );
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document.write( "So it can't be an inverse variation either because those\r\n" );
document.write( "values of k are not the same.  But we might as well\r\n" );
document.write( "see what the other values of k are:\r\n" );
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document.write( "13 = \r\n" );
document.write( "65 = k\r\n" );
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document.write( "32 = \r\n" );
document.write( "192 = k\r\n" );
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document.write( "They certainly aren't all the same!  So it's not an inverse\r\n" );
document.write( "variation either.  So it's NEITHER!\r\n" );
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document.write( "However, the data fits the formula:\r\n" );
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document.write( "     Y = \r\n" );
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document.write( "Edwin

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