document.write( "Question 1130237: Hi I have a question that I need help with and was wondering if you could help?\r
\n" ); document.write( "\n" ); document.write( "A young sumo wrestler decided to go on a special diet to gain weight rapidly. He gained weight at a constant rate.
\n" ); document.write( "The table compares the wrestler's weight (in kilograms) and the time since he started his diet (in months).
\n" ); document.write( "Time (months)
\n" ); document.write( "Weight (kilograms)
\n" ); document.write( "0.50.5
\n" ); document.write( "0.5\r
\n" ); document.write( "\n" ); document.write( "80.680.6
\n" ); document.write( "80.6\r
\n" ); document.write( "\n" ); document.write( "22
\n" ); document.write( "2\r
\n" ); document.write( "\n" ); document.write( "88.488.4
\n" ); document.write( "88.4\r
\n" ); document.write( "\n" ); document.write( "3.53.5
\n" ); document.write( "3.5\r
\n" ); document.write( "\n" ); document.write( "96.296.2
\n" ); document.write( "96.2\r
\n" ); document.write( "\n" ); document.write( "What was the wrestler's weight before he went on his diet?\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #746907 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
if you have this table:\r
\n" ); document.write( "\n" ); document.write( "\"t\".................\"w%28t%29\"
\n" ); document.write( "\"0.5\"..............\"80.6\"
\n" ); document.write( "\"2\" ................\"88.4\"
\n" ); document.write( "\"3.5\" ..............\"96.2\" \r
\n" ); document.write( "\n" ); document.write( "it’s linear function, use two points to find equation of that line\r
\n" ); document.write( "\n" ); document.write( "\"w%28t%29=mt%2Bb\"\r
\n" ); document.write( "\n" ); document.write( "first find a slope \"m\" using two points\r
\n" ); document.write( "\n" ); document.write( "\"m=%28w%28t%29-w%28t%29%5B1%5D%29%2F%28t-t%5B1%5D%29\"\r
\n" ); document.write( "\n" ); document.write( "\"m=%2888.4-80.6%29%2F%282-0.5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"m=%287.8%29%2F%281.5%29\"\r
\n" ); document.write( "\n" ); document.write( "\"m=5.2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"w%28t%29=5.2t%2Bb\".....use one point and calculate \"b\" (\"t=3.5\",\"w%28t%29=96.2+\")\r
\n" ); document.write( "\n" ); document.write( "\"96.2=5.2%2A3.5%2Bb\"\r
\n" ); document.write( "\n" ); document.write( "\"96.2=18.2%2Bb\"\r
\n" ); document.write( "\n" ); document.write( "\"b=96.2-18.2\"
\n" ); document.write( "\"b=78\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so, your equation is:
\n" ); document.write( "\"w%28t%29=5.2t%2B78\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "What was the wrestler's weight before he went on his diet? \r
\n" ); document.write( "\n" ); document.write( "weight before he went on his diet what \"w%280%29\" is, and that is \"78\"\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );