document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=103189>Question 103189</A>: <I><SPAN STYLE=\"word-break: break-all;\"> An experiment consists of mixing 2 liquids and observing the change in temperature of the mixture. The results are presented in the table below.<BR>\n" );
document.write( "time elapsed                  temperature<BR>\n" );
document.write( " (in min.)                      (in °C)<BR>\n" );
document.write( "   2                              26.9 <BR>\n" );
document.write( "   4                              31.5<BR>\n" );
document.write( "   7                              38.4<BR>\n" );
document.write( "   10                             45.3\r<BR>\n" );
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document.write( "The phenomenon can be expressed by a linear functionwhich associates the temperature f(T) of the mixture with the elapsed time t.<BR>\n" );
document.write( "What equation represents this function?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76698 by </B><A HREF=/tutors/aboutme.mpl?userid=HyperBrain><B>HyperBrain(694)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=HyperBrain><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=76698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assuming that this represents a STRAIGHT LINE, any two pairs will do.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slope=%28y-increment%29%2F%28x-increment%29 ALIGN=MIDDLE  ALT=\"slope=%28y-increment%29%2F%28x-increment%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I will use these pairs---(2,26.9), and (4,31.5)\r<BR>\n" );
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document.write( "Thus,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slope=%2831.5-26.9%29%2F%284-2%29 ALIGN=MIDDLE  ALT=\"slope=%2831.5-26.9%29%2F%284-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slope=4.6%2F2 ALIGN=MIDDLE  ALT=\"slope=4.6%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=slope=2.3 ALIGN=MIDDLE  ALT=\"slope=2.3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's use the slope intercept form!\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=mx%2Bb ALIGN=MIDDLE  ALT=\"y=mx%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since we DO NOT know the y-intercept,b, we'll solve for it!\r<BR>\n" );
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document.write( "Let's use the pair,(4,31.5) for the values of x and y.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31.5=2.3%2A4%2Bb ALIGN=MIDDLE  ALT=\"31.5=2.3%2A4%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=31.5=9.2%2Bb ALIGN=MIDDLE  ALT=\"31.5=9.2%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=22.3 ALIGN=MIDDLE  ALT=\"b=22.3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thus,\r<BR>\n" );
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document.write( "y=2.3x+22.3\r<BR>\n" );
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document.write( "This can be written as a function\r<BR>\n" );
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document.write( "f(t)=2.3T+22.3\r<BR>\n" );
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document.write( "read as,'the f of the time is 2.3 times the temp. added to 22.3.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%281000%2C1000%2C-50%2C50%2C-50%2C50%2C2.3x%2B22.3%29 ALIGN=MIDDLE  ALT=\"graph%281000%2C1000%2C-50%2C50%2C-50%2C50%2C2.3x%2B22.3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Power up,<BR>\n" );
document.write( "HyperBrain! </SPAN>\n" );
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