document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=70228>Question 70228</A>: <I><SPAN STYLE=\"word-break: break-all;\">  after 2 minutes on a treadmill jenny has a heart raete of 84. after 3 minutes she has a heart rate of 86. assume that there is a linear equation that gives her heart rate h in the terms of time on the treadmill t. Find the equation and use it to find her heart rate after 10 minutes on the treadmill </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #50085 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=50085\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One approach to solving this problem is to treat the given input data, ie, heart-rate and time, as the coordinates of points on a graph.  Instead of the usual (x, y) you can use (t, h) where t is time and h is heart rate.<BR>\n" );
document.write( "With the two given points you can find the slope of this linear relationship using:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 ALIGN=MIDDLE  ALT=\"m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or rather: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%28h%5B2%5D-h%5B1%5D%29%2F%28t%5B2%5D-t%5B1%5D%29 ALIGN=MIDDLE  ALT=\"m+=+%28h%5B2%5D-h%5B1%5D%29%2F%28t%5B2%5D-t%5B1%5D%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Once you have found the slope, you can start writing the equation in the slope-intercept form (h = mt+b) which will be just perfect for this problem.<BR>\n" );
document.write( "Let's find the slope using the two given point (t, h) which are: (2, 84) and (3, 86)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+%2886-84%29%2F%283-2%29 ALIGN=MIDDLE  ALT=\"m+=+%2886-84%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+=+2%2F1 ALIGN=MIDDLE  ALT=\"m+=+2%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m+=+2 ALIGN=MIDDLE  ALT=\"m+=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You can now write the start of the equation as:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+2t%2Bb ALIGN=MIDDLE  ALT=\"h+=+2t%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > where b is the h-intercept. Substitute the t- and h-coordinates from either one of the two given points and solve for b. Using (2, 84) we get:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=84+=+2%282%29%2Bb ALIGN=MIDDLE  ALT=\"84+=+2%282%29%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > Simplify and solve for b.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b+=+80 ALIGN=MIDDLE  ALT=\"b+=+80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now you can write the final equation for this linear relationship:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+2t%2B80 ALIGN=MIDDLE  ALT=\"h+=+2t%2B80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "To find Jenny's heart rate (h) after 10 minutes (t=10) on the treadmill, make the appropriate substitutions into your final equation and solve for h.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+2%2810%29%2B80 ALIGN=MIDDLE  ALT=\"h+=+2%2810%29%2B80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+20%2B80 ALIGN=MIDDLE  ALT=\"h+=+20%2B80\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+100 ALIGN=MIDDLE  ALT=\"h+=+100\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Jenny's heart rate will be 100 bpm after 10 minutes on the treadmill. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );