document.write( "Question 887482: If y varies inversely as x, and y=18 when x=3, find when x=8 \n" ); document.write( "
Algebra.Com's Answer #536657 by DrBeeee(684)![]() ![]() ![]() You can put this solution on YOUR website! When y varies inversely with x we have \n" ); document.write( "(1) y = c/x, where c is a constant. \n" ); document.write( "When x = 3 we are given that y equals 18 or \n" ); document.write( "(2) 18 = c/3 or \n" ); document.write( "(3) c = 3*18 or \n" ); document.write( "(4) c = 54, giving us the inverse equation \n" ); document.write( "(5) y = 54/x \n" ); document.write( "You are asked to find y when x = 8, so put x into (5) and get \n" ); document.write( "(6) y = 54/8 or \n" ); document.write( "(7) y = 27/4 or \n" ); document.write( "(8) y = 6.75 or \n" ); document.write( "(9) y = 6 3/4 \n" ); document.write( " \n" ); document.write( " |