document.write( "Question 303176: if x varies inversely as y and x=2 when y=8 find x when y=17 \n" ); document.write( "
Algebra.Com's Answer #217287 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! * \"F varies as x\" means F = kx\r \n" ); document.write( "\n" ); document.write( " * \"F varies jointly as x and y\" means F = kxy\r \n" ); document.write( "\n" ); document.write( " * \"F varies as x + y\" means F = k(x + y)\r \n" ); document.write( "\n" ); document.write( " * \"F varies inversely as x\" means F = k/x \n" ); document.write( ". \n" ); document.write( "Your problem: \n" ); document.write( " if x varies inversely as y and x=2 when y=8 find x when y=17 \n" ); document.write( ". \n" ); document.write( "From: \"x varies inversely as y\" we get \n" ); document.write( "x = k/y \n" ); document.write( ". \n" ); document.write( "to find 'k' use \"x=2 when y=8\" \n" ); document.write( "x = k/y \n" ); document.write( "2 = k/8 \n" ); document.write( "16= k \n" ); document.write( ". \n" ); document.write( "Our relation is now: \n" ); document.write( "x = 16/y \n" ); document.write( ". \n" ); document.write( "Now, we can answer: find x when y=17 \n" ); document.write( "x = 16/y \n" ); document.write( "x = 16/17 (this is your answer)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |