document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184177>Question 184177</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having a terrible time trying to figure this out, any help will be greatly appreciated\r<BR>\n" );
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document.write( "Bill and Barbara collected the following data in a chemistry experiment when they were in lab. They were comparing two thermometers. The thermometers were under constant conditions except that the heat was changing under each thermometer as time passed. T is the time of the reading. X is the reading of the first thermometer. Y is the reading of the second thermometer. Bill and Barbara are assuming a linear relationship between the readings X and Y on the thermometers and are to find a linear equation relating this (x,y) relationship.<BR>\n" );
document.write( "  See data collection chart below.\r<BR>\n" );
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document.write( "Time starts at t = 0 min.<BR>\n" );
document.write( "time<BR>\n" );
document.write( "0<BR>\n" );
document.write( "10 min.<BR>\n" );
document.write( "20 min<BR>\n" );
document.write( "30 min.<BR>\n" );
document.write( "x<BR>\n" );
document.write( "10<BR>\n" );
document.write( "15<BR>\n" );
document.write( "28<BR>\n" );
document.write( "40<BR>\n" );
document.write( "y<BR>\n" );
document.write( "50<BR>\n" );
document.write( "59<BR>\n" );
document.write( "82.4<BR>\n" );
document.write( "104<BR>\n" );
document.write( "a.       Create a graph locating these data points on an (x,y) coordinate plane. <BR>\n" );
document.write( "b.      Find the slope of this graph.  <BR>\n" );
document.write( "c.       Create the linear equation based on the data info collected. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138205 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=138205\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Bill and Barbara collected the following data in a chemistry experiment when they were in lab. They were comparing two thermometers. The thermometers were under constant conditions except that the heat was changing under each thermometer as time passed. T is the time of the reading. X is the reading of the first thermometer. Y is the reading of the second thermometer. Bill and Barbara are assuming a linear relationship between the readings X and Y on the thermometers and are to find a linear equation relating this (x,y) relationship.<BR>\n" );
document.write( "  See data collection chart below.\r<BR>\n" );
document.write( "\n" );
document.write( "Time starts at t = 0 min.<BR>\n" );
document.write( "time<BR>\n" );
document.write( "0<BR>\n" );
document.write( "10 min.<BR>\n" );
document.write( "20 min<BR>\n" );
document.write( "30 min.<BR>\n" );
document.write( "x<BR>\n" );
document.write( "10<BR>\n" );
document.write( "15<BR>\n" );
document.write( "28<BR>\n" );
document.write( "40<BR>\n" );
document.write( "y<BR>\n" );
document.write( "50<BR>\n" );
document.write( "59<BR>\n" );
document.write( "82.4<BR>\n" );
document.write( "104<BR>\n" );
document.write( "a.       Create a graph locating these data points on an (x,y) coordinate plane. <BR>\n" );
document.write( "b.      Find the slope of this graph.  <BR>\n" );
document.write( "c.       Create the linear equation based on the data info collected.\r<BR>\n" );
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document.write( "You have more than two points but only need two.<BR>\n" );
document.write( "(10,50) (15,59)<BR>\n" );
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document.write( "slope = (59-50)/(15-10) = 9/5<BR>\n" );
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document.write( "Form of you linear equation is y = mx + b<BR>\n" );
document.write( "You know y = 50 when x = 10 and you know m = 9/5; solve for \"b\":<BR>\n" );
document.write( "50 = (9/5)*10 + b<BR>\n" );
document.write( "b = 50 - 18 = 32<BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "Y = (9/5)X + 32<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Note: This happens to be the formula for converting temperature<BR>\n" );
document.write( "in Celsius to temperature in Farenheit.<BR>\n" );
document.write( "============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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