document.write( "Question 172253This question is from textbook
\n" ); document.write( ": I am working on variations and I am having problems...please help\r
\n" ); document.write( "\n" ); document.write( "The question is:
\n" ); document.write( "I varies inversely with the cube of W.
\n" ); document.write( "If I = 32 when W = 1/2, find I when W = 1/3. \r
\n" ); document.write( "\n" ); document.write( "I come up with 2304 but the book comes up with 108, not sure where I am going wrong. I am using the formula I=K/W^3.\r
\n" ); document.write( "\n" ); document.write( "Thanks for your help! \n" ); document.write( "

Algebra.Com's Answer #127249 by Mathtut(3670) $\"\"$ $\"About$

You can put this solution on YOUR website!
when two items are inversely related it simply means as one increases the other decreases.
\n" ); document.write( ":
\n" ); document.write( "inverse relationships take the form of ab=k or a=k/b where a varies inversely with b.
\n" ); document.write( ":
\n" ); document.write( "so in our problem we have I varies inversely with $\"W%5E3\"$
\n" ); document.write( ":
\n" ); document.write( "therefore we take the form of $\"I%28W%5E3%29=k\"$ or $\"32%281%2F2%29%5E3=k\"$ or $\"k=32%281%2F8%29=4\"$ ...so k=4:
\n" ); document.write( "find I when W is 1/3...you would expect since W is decreasing that I will increase.
\n" ); document.write( ":
\n" ); document.write( "I(W)=k or $\"I%281%2F3%29%5E3=4\"$ or $\"I%281%2F27%29=4\"$ .. $\"highlight%28I=4%2827%29=108%29\"$ \n" ); document.write( "

\n" );