document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1077451>Question 1077451</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The amount of time t it takes a flame to go out in a closed container is a linear function of the volume of the container x. A flame in 748 mL container takes 14 seconds to go out and a flame in a 1100 mL container takes 22 seconds. Write a linear function that relates t to x. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #691929 by </B><A HREF=/tutors/aboutme.mpl?userid=srinivas.g><B>srinivas.g(540)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=srinivas.g><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/cgi-bin/show-face.mpl?user=srinivas.g><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=691929\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let t be the time taken by flame <BR>\n" );
document.write( "let x be the volume of the container<BR>\n" );
document.write( "  it is mentioned that  t is linear function of x<BR>\n" );
document.write( " hence  t= ax+b<BR>\n" );
document.write( " here a , b are constants<BR>\n" );
document.write( "  it is given that <BR>\n" );
document.write( "          for x=748 ml, t= 14<BR>\n" );
document.write( "  put these values in the above equation<BR>\n" );
document.write( "           14=  748 a +b ---------eq(1)<BR>\n" );
document.write( "  for x=1100 ml, t= 22 seconds<BR>\n" );
document.write( "    22 =  1100a+b ----- eq (2)<BR>\n" );
document.write( " we need to solve eq(1) and eq(2) for a, b<BR>\n" );
document.write( " subtract eq(1) from eq (2)<BR>\n" );
document.write( "     22 = 1100 a+ b<BR>\n" );
document.write( "     14 =   748 a +b<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "    8=352 a <BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a++=+8%2F352+ ALIGN=MIDDLE  ALT=\"+a++=+8%2F352+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "     put <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a=8%2F352+ ALIGN=MIDDLE  ALT=\"+a=8%2F352+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  in eq(1) <BR>\n" );
document.write( "       <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+14+=+748+%2A+8%2F352+%2Bb ALIGN=MIDDLE  ALT=\"+14+=+748+%2A+8%2F352+%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "         <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+14+=++17%2Bb ALIGN=MIDDLE  ALT=\"+14+=++17%2Bb\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "           <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+14-17+=b ALIGN=MIDDLE  ALT=\"+14-17+=b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "            <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-3+=b ALIGN=MIDDLE  ALT=\"+-3+=b\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "      hence b= -3  and  a= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+8%2F352 ALIGN=MIDDLE  ALT=\"+8%2F352\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  substitute these values in  t= ax +b<BR>\n" );
document.write( "                              <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t=+8x%2F352+-3 ALIGN=MIDDLE  ALT=\"+t=+8x%2F352+-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );