document.write( "Question 251505: If s varies inversely as sqrt(d) find the percentage change in the value of s when the value of d is reduced by 75%.\r
\n" ); document.write( "\n" ); document.write( "a) 133 1/3% b) 100% c) 75% d) 50% e) none of these \n" ); document.write( "
Algebra.Com's Answer #183190 by stanbon(75887)\"\" \"About 
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If s varies inversely as sqrt(d) find the percentage change in the value of s when the value of d is reduced by 75%.
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\n" ); document.write( "s = k/sqrt(d)
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\n" ); document.write( "If D = 0.75d
\n" ); document.write( "S = k/sqrt(D)
\n" ); document.write( "S = k/sqrt((3/4)d)
\n" ); document.write( "S = k/(1/2)sqrt(3d)
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\n" ); document.write( "s/S = [k/sqrt(d)]/[k/[(1/2)(sqrt(3)*sqrt(d)]
\n" ); document.write( "Cancel the k and the sqrt(d):
\n" ); document.write( "s/S = 1/[(1/2)sqrt(3)
\n" ); document.write( "s/S = 2/sqrt(3)
\n" ); document.write( "s/S = 1.1547
\n" ); document.write( "s/S = 115.47%
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.\r
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\n" ); document.write( "a) 133 1/3% b) 100% c) 75% d) 50% e) none of these
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