document.write( "Question 66175: I'm not sure if this is Linear Algebra, but i have a good feeling. So:
\n" ); document.write( "Suppose Y varies directly with the square of W and the cube of X. When W=4 and X=2, Y=72. Find Y when W=1 and X=5.
\n" ); document.write( "I'm having problems setting the problem up and I don't know what it means when it says it varies directly with the (square, cube, etc..) of X (or whatever).
\n" ); document.write( "Much appricated thanks! \n" ); document.write( "
Algebra.Com's Answer #46916 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
I'm not sure if this is Linear Algebra, but i have a good feeling. So:
\n" ); document.write( "Suppose Y varies directly with the square of W and the cube of X. When W=4 and X=2, Y=72. Find Y when W=1 and X=5.
\n" ); document.write( "I'm having problems setting the problem up and I don't know what it means when it says it varies directly with the (square, cube, etc..) of X (or whatever).
\n" ); document.write( "------------------
\n" ); document.write( "If y=3x, y varies directly as x; that means \"as x increases, y increases\".
\n" ); document.write( "But if y=3/x, y varies indirectly as x: that means \"as x increases, y decreases\".
\n" ); document.write( "----------------
\n" ); document.write( "So for your problem:
\n" ); document.write( "y = k(w^2X^3)
\n" ); document.write( "We need to find \"k\" as follows:
\n" ); document.write( "72=k(4^2*2^3}
\n" ); document.write( "72=k(128)
\n" ); document.write( "k=72/128=9/16
\n" ); document.write( "------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "EQUATION:
\n" ); document.write( "y=(9/16)w^2x^3
\n" ); document.write( "--------------
\n" ); document.write( "Then if w=1 and x=5,
\n" ); document.write( "y=(9/16)(1^2*5^3)
\n" ); document.write( "y=(9/16)(125)
\n" ); document.write( "y=70.3125\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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