document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198043>Question 198043</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977258/algebrahomeworkh>Algebra and trigonometry</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The table below shows the freezing and boiling points of water in degrees Celsius and degrees Fahrenheit.\r<BR>\n" );
document.write( "\n" );
document.write( "          Celsius   Fahrenheit<BR>\n" );
document.write( "Freezing  0          32<BR>\n" );
document.write( "Boiling   100        212\r<BR>\n" );
document.write( "\n" );
document.write( "a. Find a linear function that gives celsius degrees in terms of fahrenheit.<BR>\n" );
document.write( "b  What celsius degrees temperature corresponds to 98.6 degrees fahrenheit.<BR>\n" );
document.write( "c. At what temperature do the two scales give the same reading. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148567 by </B><A HREF=/tutors/aboutme.mpl?userid=jojo14344><B>jojo14344(1513)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jojo14344><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=148567\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Tahoma\" size=1.5><BR>\n" );
document.write( "</pre><font size=4><b><BR>\n" );
document.write( "a) Find a linear function that gives celsius degrees in terms of fahrenheit.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let us appoint the following:<BR>\n" );
document.write( "<font color=blue>Celsius = x</font>, where<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28x%5B1%5D=0%28freezing%29%2Cx%5B2%5D=100%28boiling%29%29 ALIGN=MIDDLE  ALT=\"system%28x%5B1%5D=0%28freezing%29%2Cx%5B2%5D=100%28boiling%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Also,<BR>\n" );
document.write( "<font color=blue>Fahrenheit = y</font>, where<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y%5B1%5D=32%28freezing%29%2Cy%5B2%5D=212%28boiling%29%29 ALIGN=MIDDLE  ALT=\"system%28y%5B1%5D=32%28freezing%29%2Cy%5B2%5D=212%28boiling%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Via Point-Slope Form:<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=%28212-32%29%2F%28100-0%29=180%2F100 ALIGN=MIDDLE  ALT=\"m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29=%28212-32%29%2F%28100-0%29=180%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" >, divide both by 20:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28m=9%2F5%29 ALIGN=MIDDLE  ALT=\"red%28m=9%2F5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then, via Slope-Intercept Form,<BR>\n" );
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;\" ><BR>\n" );
document.write( "Thru point (x1,y1)= (0,32):\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32=%289%2F5%29%280%29%2Bb ALIGN=MIDDLE  ALT=\"32=%289%2F5%29%280%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=b=32 ALIGN=MIDDLE  ALT=\"b=32\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "It follows ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28y=%289%2F5%29x%2B32%29 ALIGN=MIDDLE  ALT=\"red%28y=%289%2F5%29x%2B32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Answer ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28F=%289%2F5%29C%2B32%29 ALIGN=MIDDLE  ALT=\"highlight%28F=%289%2F5%29C%2B32%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "b) What celsius degrees temperature corresponds to 98.6 degrees fahrenheit?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Susbtituting to our Eqn in (a):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F=%289%2F5%29C%2B32 ALIGN=MIDDLE  ALT=\"F=%289%2F5%29C%2B32\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F-32=%289%2F5%29C ALIGN=MIDDLE  ALT=\"F-32=%289%2F5%29C\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28F-32%29%2F%289%2F5%29=%28cross%289%2F5%29%29%28C%29%29%2Fcross%289%2F5%29 ALIGN=MIDDLE  ALT=\"%28F-32%29%2F%289%2F5%29=%28cross%289%2F5%29%29%28C%29%29%2Fcross%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=C=%28F-32%29%285%2F9%29 ALIGN=MIDDLE  ALT=\"C=%28F-32%29%285%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C=%2898.6-32%29%285%2F9%29=66.6%285%2F9%29 ALIGN=MIDDLE  ALT=\"C=%2898.6-32%29%285%2F9%29=66.6%285%2F9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28C=37%5Eo%29 ALIGN=MIDDLE  ALT=\"red%28C=37%5Eo%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Answer (body temp.)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "c. At what temperature do the two scales give the same reading.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "When Fahrenheit=Celsius ----> y=x\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Going back to eqn in (a):<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%289%2F5%29x%2B32 ALIGN=MIDDLE  ALT=\"y+=+%289%2F5%29x%2B32\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%289%2F5%29x%2B32 ALIGN=MIDDLE  ALT=\"x=%289%2F5%29x%2B32\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-32=%289%2F5%29x-x ALIGN=MIDDLE  ALT=\"-32=%289%2F5%29x-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-32=%289x-5x%29%2F5 ALIGN=MIDDLE  ALT=\"-32=%289x-5x%29%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-32=4x%2F5 ALIGN=MIDDLE  ALT=\"-32=4x%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-32%29%285%29=4x ALIGN=MIDDLE  ALT=\"%28-32%29%285%29=4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-160=4x ALIGN=MIDDLE  ALT=\"-160=4x\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28-160%29-40%29%2Fcross%284%29=cross%284%29x%2Fcross%284%29 ALIGN=MIDDLE  ALT=\"%28cross%28-160%29-40%29%2Fcross%284%29=cross%284%29x%2Fcross%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=red%28x=-40%29 ALIGN=MIDDLE  ALT=\"red%28x=-40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, Answer\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Thank you,<BR>\n" );
document.write( "Jojo</font><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );