document.write( "Question 171704: Having problems figuring this one out. x varies directly as the square of s and inversely as t. How does x change when s is doubled? When both s and t are doubled. Thanks. \n" ); document.write( "

Algebra.Com's Answer #126823 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
You can use what are called constants of variation
\n" ); document.write( "(1) $\"x+=+k%2As%5E2\"$ ( $\"k\"$ is the constant)
\n" ); document.write( "(2) $\"x+=+j%2A%281%2Ft%29\"$ ( $\"j\"$ is the constant)
\n" ); document.write( "-------------
\n" ); document.write( "What if $\"s\"$ is doubled?
\n" ); document.write( " $\"x+=+k%2A%282s%29%5E2\"$
\n" ); document.write( " $\"x+=+4k%2As%5E2\"$
\n" ); document.write( "Compare this with (1). $\"x\"$ has been quadrupled
\n" ); document.write( "-------------
\n" ); document.write( "What if $\"t\"$ is doubled also?
\n" ); document.write( " $\"x+=+j%2A%281%2F%282t%29%29\"$
\n" ); document.write( " $\"x+=+%281%2F2%29%2Aj%2A%281%2Ft%29\"$
\n" ); document.write( "Compare this with (2) $\"x\"$ has been halved
\n" ); document.write( "If you do both, the net result is
\n" ); document.write( " $\"4%2A%281%2F2%29+=+2\"$
\n" ); document.write( "So, x is doubled \n" ); document.write( "

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