document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=46365>Question 46365</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could someone please help us figure this out!\r<BR>\n" );
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document.write( "Time on a treadmill:\r<BR>\n" );
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document.write( "After 2 minute, Jeremy has a heart rate of 82.  After 3 minutes he has a heart rate of 86.  Assume there is a linear equation that gives his heart \"h\" in terms of time on the treadmill \"t\".  Find the equation and use it to predict his heart rate after 10 minutes on the treadmill.\r<BR>\n" );
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document.write( "We are getting confused.  Can anyone help?\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 #30757 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=30757\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If you were to graph the two given points (2, 82) and (3, 86) on a graph which was labeled t (for time) on the horizontal axis and h (for heart rate) on the vertical axis, you will find that they do indeed generate a straight line when connected.<BR>\n" );
document.write( "But you can generate the corresponding linear equation when you have two points that lie on the line, as you do in this case. Only instead of using (x,y) as you would normally, you would use (t, h) for time and heart rate.\r<BR>\n" );
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document.write( "Let's find the slope, m, of the line through these two points (2, 82) and (3, 86).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28h2-h1%29%2F%28t2-t1%29 ALIGN=MIDDLE  ALT=\"m+=+%28h2-h1%29%2F%28t2-t1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%2886-82%29%2F%283-2%29 ALIGN=MIDDLE  ALT=\"m+=+%2886-82%29%2F%283-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+4 ALIGN=MIDDLE  ALT=\"m+=+4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now you can use the slope-intercept form of a linear equation to write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+mt%2Bb ALIGN=MIDDLE  ALT=\"h+=+mt%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > We are just replacing x with t and y with h.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+4t%2Bb ALIGN=MIDDLE  ALT=\"h+=+4t%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now we need to find the value of b, so substitute the t and h values from either one of the two points (2, 82) or (3, 86)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=82+=+4%282%29%2Bb ALIGN=MIDDLE  ALT=\"82+=+4%282%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=82+=+8%2Bb ALIGN=MIDDLE  ALT=\"82+=+8%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 8 from both sides.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=74+=+b ALIGN=MIDDLE  ALT=\"74+=+b\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now you write the final equation.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+4t%2B74 ALIGN=MIDDLE  ALT=\"h+=+4t%2B74\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is the linear equation to predict Jeremy's heart rate after t minutes on the treadmill.\r<BR>\n" );
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document.write( "Ok, to find Jeremy's heart rate after 10 minutes on the treadmill, substitute t = 10 and solve for h.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+4%2810%29%2B74%29 ALIGN=MIDDLE  ALT=\"h+=+4%2810%29%2B74%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+40%2B74 ALIGN=MIDDLE  ALT=\"h+=+40%2B74\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+114 ALIGN=MIDDLE  ALT=\"h+=+114\"   DISABLED_style= \"max-width:90%; height:auto;\" > This is Jeremy's predicted heart rate after 10 minutes on the treadmill. </SPAN>\n" );
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