document.write( "Question 635829: Suppose y varies directly with x, and y=36 when x=20. Find an equation of variation for x and y.\r
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\n" ); document.write( "\n" ); document.write( "I need assistance with this problem thanks in advance.
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Algebra.Com's Answer #400602 by KMST(5398)\"\" \"About 
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In a direct variation, \"y\" equals \"x\" multiplied times a factor \"k\":
\n" ); document.write( "\"y=kx\"
\n" ); document.write( "That way, as \"x\" doubles, \"y\" doubles; as \"x\" triples (or trebles, if you like that word better), \"y\" triples (or trebles), and so on.
\n" ); document.write( "The ratio is the constant \"y%2Fx=k\" <---> \"y=kx\" .
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\n" ); document.write( "It's all a question of finding your constant.
\n" ); document.write( "In this case,
\n" ); document.write( "\"y=kx\" and for \"x=20\" , \"y=36\" , so
\n" ); document.write( "\"36=k%2A20\" --> \"k=36%2F20\" --> \"highlight%28k=1.8%29\"
\n" ); document.write( "So \"highlight%28y=1.8x%29\" .
\n" ); document.write( "If your teacher would rather have fractions than decimals,
\n" ); document.write( "\"k=36%2F20=9%2F5\" and \"y=%289%2F5%29x\" or \"y=9x%2F5\"
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