document.write( "Question 624590: Identify the variation as direct, inverse, joint or combined.
\n" );
document.write( "m/n=4 \n" );
document.write( "
Algebra.Com's Answer #392944 by Theo(13342)![]() ![]() You can put this solution on YOUR website! m/n = 4 looks like it is direct. \n" ); document.write( "multiply both sides by n and you get: \n" ); document.write( "m = 4n \n" ); document.write( "the 4 could represent k in the formula m = kn which is a direct variation formula. \n" ); document.write( "if it was direct, then an increase in m would correleate to an increase in n. \n" ); document.write( "let's see if that's true. \n" ); document.write( "allow m = 1 \n" ); document.write( "you get 1/n = 4 and you solve for n to get n = 1/4 \n" ); document.write( "your ratio becomes 1/(1/4) = 4 which is true. \n" ); document.write( "now allow m = 2 \n" ); document.write( "you get 2/n = 4 and you solve for n to get n = 2/4 \n" ); document.write( "your ratio becomes 2/(2/4) = 4 which is also true. \n" ); document.write( "as m increased, n increases, so the variation is direct. \n" ); document.write( "allow m to be 100. \n" ); document.write( "the formua says that 100/n = 4 \n" ); document.write( "multiply both sides by n to get 100 = 4n \n" ); document.write( "divide both sides by 4 to get n = 25 \n" ); document.write( "your ratio is 100/25 = 4 which is true \n" ); document.write( "as m increased, n increased. \n" ); document.write( "direct variation again. \n" ); document.write( "direct is m = kn which leads to m/n = k \n" ); document.write( "inverse is m = k/n which leads to mn = k \n" ); document.write( "joint is m = kn/p which leads to k = mp/n \n" ); document.write( "i'd go for direct. \n" ); document.write( "combined appears to be a combination of any of the above. \n" ); document.write( "here's one answer from the web: \n" ); document.write( "http://answers.yahoo.com/question/index?qid=20070726203353AAgDenC\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |