document.write( "Question 62970: EXPRESS THE FOLLOWING STATEMENT AS A FORMULA WITH THE VALUE OF THE CONSTANT OF PROPORTIONALITY DETERMINED WITH THE GIVEN CONDITIONS: w VARIES DIRECTLY AS x AND INVERSELY AS THE SQUARE OF y. IF x=15 AND y=5, THEN w=36. \n" ); document.write( "
Algebra.Com's Answer #43805 by uma(370)\"\" \"About 
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Given that w varies directly as x and inversely as the square of y.\r
\n" ); document.write( "\n" ); document.write( "So w can be written as w = K *x/(y^2) where k is the constant of proportionality.\r
\n" ); document.write( "\n" ); document.write( "when x = 15, y = 5, w = 36\r
\n" ); document.write( "\n" ); document.write( "Plugging in these value, \r
\n" ); document.write( "\n" ); document.write( "36 = K
\n" ); document.write( "==> 36 = K*(15/25)\r
\n" ); document.write( "\n" ); document.write( "Multiplying both the sides by 25/15 we get,\r
\n" ); document.write( "\n" ); document.write( "36*(25/15) = K
\n" ); document.write( "==> 36*(5/3) = K
\n" ); document.write( "==> 60 = K\r
\n" ); document.write( "\n" ); document.write( "Thus the constant of proportionality is 60.\r
\n" ); document.write( "\n" ); document.write( "The equation becomes,
\n" ); document.write( "W = 60x/(y^2)\r
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\n" ); document.write( "\n" ); document.write( "Good Luck!!!\r
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