document.write( "Question 213783This question is from textbook Structure and Method Book 1
\n" ); document.write( ": 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? \n" ); document.write( "

Algebra.Com's Answer #161505 by Earlsdon(6294) $\"\"$ $\"About$

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This can be expressed as:
\n" ); document.write( " $\"x+=+ks%5E2%2Ft\"$ where k is the contant of variation.
\n" ); document.write( "To find out what happens to x when s is doubled, substitute s = 2s.
\n" ); document.write( " $\"x+=+k%282s%29%5E2%2Ft\"$
\n" ); document.write( " $\"x+=+4ks%5E2%2Ft\"$ Substitute $\"ks%5E2%2Ft+=+x\"$
\n" ); document.write( " $\"x+=+4x\"$
\n" ); document.write( "X quadruples when s is doubled.
\n" ); document.write( "TO find out what happens to x when both s and t are doubled, substitute s = 2s and t = 2t.
\n" ); document.write( " $\"x+=+ks%5E2%2Ft\"$
\n" ); document.write( " $\"x+=+k%282s%29%5E2%2F2t\"$
\n" ); document.write( " $\"x+=+4ks%5E2%2F2t\"$
\n" ); document.write( " $\"x+=+2ks%5E2%2Ft\"$ Substitute $\"ks%5E2%2Ft+=+x\"$
\n" ); document.write( " $\"x+=+2x\"$
\n" ); document.write( "x is doubled when both s and t are doubled. \n" ); document.write( "

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