document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=214794>Question 214794</A>: <I><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" );
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document.write( "Time starts at t = 0 min.<BR>\n" );
document.write( "time	0	10 min.	20 min	30 min.<BR>\n" );
document.write( "x	10	15	28	40<BR>\n" );
document.write( "y	50	59	82.4	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( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162275 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=162275\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Time starts at t = 0 min.<BR>\n" );
document.write( "time 0 10 min. 20 min 30 min.<BR>\n" );
document.write( "x 10 15 28 40<BR>\n" );
document.write( "y 50 59 82.4 104<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( "Use two of the x/y relations to find the slope:<BR>\n" );
document.write( "slope = (50-10)/(59-15) = 40/44 = 10/11<BR>\n" );
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document.write( "Form of the line is y = mx + b<BR>\n" );
document.write( "Find \"b\":<BR>\n" );
document.write( "50 = (10/11)*10 + b<BR>\n" );
document.write( "50 = 100/11 + b<BR>\n" );
document.write( "550/11 = 100/11 + b<BR>\n" );
document.write( "b = 450/11<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Equation:<BR>\n" );
document.write( "y = (10/11)x + 450/11<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-100%2C100%2C-10%2C10%2C%2810%2F11%29x+%2B+%28450%2F11%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-100%2C100%2C-10%2C10%2C%2810%2F11%29x+%2B+%28450%2F11%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==========================================================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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