document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=954208>Question 954208</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The boiling point of water is 373 K, or 212 degrees F. The freezing point of water is 273 K or 32 degrees F. The relationship between Kelvin and Fahrenheit temperatures is linear. <BR>\n" );
document.write( "a) write a linear function expressing K(F) in terms of F. <BR>\n" );
document.write( "b) find the inverse of the function in part (a). What does it mean?<BR>\n" );
document.write( "c) A normal human body temperature is 98.6 degrees F. What is the corresponding Kelvin temperature? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #582762 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=582762\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have two data points, (F,K).  They are (212,373) and (32,273).  \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "K as a function of F:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=K=%28%28373-273%29%2F%28212-32%29%29F%2Bb ALIGN=MIDDLE  ALT=\"K=%28%28373-273%29%2F%28212-32%29%29F%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" > in slope-intercept form.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=K-mF ALIGN=MIDDLE  ALT=\"b=K-mF\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Pick a point...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=273-%28%28373-273%29%2F%28212-32%29%29%2A32 ALIGN=MIDDLE  ALT=\"b=273-%28%28373-273%29%2F%28212-32%29%29%2A32\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Evaluate b, substitute it into the first equation for K and simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=10%2F18=5%2F9 ALIGN=MIDDLE  ALT=\"m=10%2F18=5%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=273-%285%2F9%29%2A32 ALIGN=MIDDLE  ALT=\"b=273-%285%2F9%29%2A32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b=255.2 ALIGN=MIDDLE  ALT=\"b=255.2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28K=%285%2F9%29F%2B255.2%29 ALIGN=MIDDLE  ALT=\"highlight%28K=%285%2F9%29F%2B255.2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Inverse?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%285%2F9%29F%2B255 ALIGN=MIDDLE  ALT=\"y=%285%2F9%29F%2B255\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "switch:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F=%285%2F9%29y%2B255 ALIGN=MIDDLE  ALT=\"F=%285%2F9%29y%2B255\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F-255=%285%2F9%29y ALIGN=MIDDLE  ALT=\"F-255=%285%2F9%29y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28F-255%29%289%2F5%29=y ALIGN=MIDDLE  ALT=\"%28F-255%29%289%2F5%29=y\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "y is the inverse of K.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=K%5E-1=%289%2F5%29F-255%2A%289%2F5%29 ALIGN=MIDDLE  ALT=\"y=K%5E-1=%289%2F5%29F-255%2A%289%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=K%5E%28-1%29=%289%2F5%29F-459.4%29 ALIGN=MIDDLE  ALT=\"highlight%28y=K%5E%28-1%29=%289%2F5%29F-459.4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, but unsure of the practical meaning.\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );