document.write( "Question 1100487: three quantities t,x, and y such that t varies directly as x and inversely as the square root of y. find the percentafe decrease in t , if x decreases by 4% , when y increases by 44% \n" ); document.write( "

Algebra.Com's Answer #714975 by greenestamps(13200) $\"\"$ $\"About$

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The variation equation is
\n" ); document.write( " $\"t+=+%28kx%29%2Fsqrt%28y%29\"$

\n" ); document.write( " $\"x\"$ decreased by 4% is $\"0.96x\"$
\n" ); document.write( " $\"sqrt%28y%29\"$ with y increased by 44% is $\"sqrt%281.44y%29+=+1.2%2Asqrt%28y%29\"$

\n" ); document.write( "Then the \"new\" value of t is $\"%280.96kx%29%2F%281.2%2Asqrt%28y%29%29+=+0.8%2A%28%28kx%29%2Fsqrt%28y%29%29\"$

\n" ); document.write( "The new value of t is 0.8, or 0.80, times the original value; its value has decreased by 20%. \n" ); document.write( "

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