document.write( "Question 1107385: Which equation is NOT a direct variation?
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document.write( "A) y = 50x
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document.write( "B) 5x + 2y= 10
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document.write( "C) - 2y = x
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document.write( "D) - 3x + 2y = 0 \n" );
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Algebra.Com's Answer #722469 by Theo(13342)![]() ![]() You can put this solution on YOUR website! a direct variation is of the form y = kx.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "k is the constant of variation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 50x is clearly a direct variation with k = 50.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2y = x looks like a direct variation because, when you solve for y, you get y = 1/2 * x, where k is equal to 1/2, so it fits the form of y = kx.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-3x + 2y = 0 leads to y = 3/2 * x, so it also fits the form of y = kx where k = 3/2.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that leaves 5x + 2y = 10 which has to be the answer.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for y to get y = (10 - 5x) / 2 which is equal to y = 5 - 5/2 * x which does not fit the form of y = kx.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "so, i would say selection B is the one that is not a direct variation, because it doesn't fit the general form of a direct variation equation.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |