document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=947630>Question 947630</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Newton's law of cooling relates the rate at which a body cools to the difference in temperature between the body and the environment into which it is introduced. The formula is F(t) = To + Cb^t, where F(t) is the temperature of the body at time t, To is the constant temperature of the environment into which the body is introduced, and C and b are constants. Use Newton's law of cooling to solve the problem below. \r<BR>\n" );
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document.write( "A cup of coffee has cooled from 96° to 50° after 10 minutes in a room at 22°. How long will it take to cool to 40°?\r<BR>\n" );
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document.write( "Please note: o is suppose to be a subscript <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 #578296 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39616)</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=578296\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Form two equations based on the formula.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%2822%2BC%2Ab%5E0=96%2C22%2BC%2Ab%5E10=50%29 ALIGN=MIDDLE  ALT=\"system%2822%2BC%2Ab%5E0=96%2C22%2BC%2Ab%5E10=50%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28Cb%5E0=74%2CC%2Ab%5E10=28%29 ALIGN=MIDDLE  ALT=\"system%28Cb%5E0=74%2CC%2Ab%5E10=28%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Some simplification more\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C%2A1=74 ALIGN=MIDDLE  ALT=\"C%2A1=74\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and <BR>\n" );
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document.write( "C now known, and b is easily found. </SPAN>\n" );
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