document.write( "Question 991432: if y varries as the square of x, how is y affected if
\n" ); document.write( "(i) x is halved
\n" ); document.write( "(ii) x decreased by 10%
\n" ); document.write( "(iii) how is x affected if y is tripled \n" ); document.write( "
Algebra.Com's Answer #611306 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
if y varies as the square of x, how is y affected if
\n" ); document.write( "(i) x is halved
\n" ); document.write( "y = k*x^2
\n" ); document.write( "y --> k*(x/2)^2 = kx^2/4
\n" ); document.write( "y is divided by 4
\n" ); document.write( "--------------------
\n" ); document.write( "(ii) x decreased by 10%
\n" ); document.write( "x --> 0.9x
\n" ); document.write( "Same as above
\n" ); document.write( "---------------------------
\n" ); document.write( "(iii) how is x affected if y is tripled
\n" ); document.write( "If x is the independent variable, the question is not allowed.
\n" ); document.write( "To restate it:
\n" ); document.write( "What change in x will produce a tripling of y?
\n" ); document.write( "--> 3y = kx^2
\n" ); document.write( "x^2 = 3y/k
\n" ); document.write( "\"x+=+sqrt%283%29%2Ay\"\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );