document.write( "Question 250118: The volume v of gas varies inversely as the pressure p on it. The volume of a gas is 240cm^3 under a pressure of 23 kg/cm^2 What will be its volume under pressure of 30 kg/cm^2? \n" ); document.write( "
Algebra.Com's Answer #182109 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the equation for inverse variation is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = k/x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in your equation, it states that when y = 240, x = 23\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you plug that into the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "240 = k/23\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for k and you get k = 23 * 240.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "k is your constant of variation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when x = 30, the equation becomes.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "v = k/30 which becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "v = 23 * 240 / 30 which becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "v = 184\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |