document.write( "Question 165469: Find the variation constant, and write a formula that expresses the indicated variation.\r
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document.write( "c varies inversely as d, and c 5 when d 2.\r
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document.write( "I'm not grasping the concept here, please help. \n" );
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Algebra.Com's Answer #121979 by gonzo(654)![]() ![]() ![]() You can put this solution on YOUR website! * In inverse variation, when one variable increases the other decreases in proportion so that the product remains the same always. \n" ); document.write( "----- \n" ); document.write( "your problem states that c varies inversely as d. \n" ); document.write( "not sure of the symbols, but i understand that part to mean that c = 5 when d = 2. \n" ); document.write( "----- \n" ); document.write( "formula for constant of inverse variation is xy = k or x = k/y, or y = k/x \n" ); document.write( "k is the constant of variation. \n" ); document.write( "----- \n" ); document.write( "in your problem, that formula would appear as cd = k, or c = k/d or d = k/c. \n" ); document.write( "if c is 5, and d is 2, the formula becomes (5*2) = k = 10 \n" ); document.write( "----- \n" ); document.write( "constant variation appears to be 10. \n" ); document.write( "c = k/d becomes 5 = 10/2 = 5. \n" ); document.write( "d = k/c becomes 2 = 10/5 = 2. \n" ); document.write( "----- \n" ); document.write( "it works out if i understood your problem correctly. \n" ); document.write( "k = 10. \n" ); document.write( "----- \n" ); document.write( "the formula that expresses this relationship would be cd = 10. \n" ); document.write( "that would equate to either: \n" ); document.write( "c = 10/d \n" ); document.write( "or \n" ); document.write( "d = 10/c \n" ); document.write( "-----\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |