document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=106443>Question 106443</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Red candle: 45 cm tall and burns 3cm per hour<BR>\n" );
document.write( "White candle: 30 cm tall and burns 1 1/2 cm per hour.\r<BR>\n" );
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document.write( "How tall will each candle be after 1 hour?\r<BR>\n" );
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document.write( "How tall will each candle be after 3 hours?\r<BR>\n" );
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document.write( "How tall will each candle be after 12 hours?\r<BR>\n" );
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document.write( "Can you generalize-a formula- a system for calculating the candle's height at any given time?\r<BR>\n" );
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document.write( "Which candle will last longer? How do you know?\r<BR>\n" );
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document.write( "If you burn both candles continously (same start time) will they ever be the same height at the same time? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #77456 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=77456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Red candle: 45 cm tall and burns 3cm per hour<BR>\n" );
document.write( "White candle: 30 cm tall and burns 1 1/2 cm per hour.<BR>\n" );
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document.write( "How tall will each candle be after 1 hour?<BR>\n" );
document.write( "Red: 45 - (1*3) = 42 cm<BR>\n" );
document.write( "White: 30 - (1*1.5) = 28.5 cm<BR>\n" );
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document.write( "How tall will each candle be after 3 hours?<BR>\n" );
document.write( "Red: 45 - (3*3) = 36 cm<BR>\n" );
document.write( "White: 30 - (3*1.5) = 25.5 cm<BR>\n" );
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document.write( "How tall will each candle be after 12 hours?<BR>\n" );
document.write( "Red: 45 - (12*3) = 9 cm<BR>\n" );
document.write( "White: 30 - (12*1.5) = 12 cm<BR>\n" );
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document.write( "Can you generalize-a formula- a system for calculating the candle's height at any given time?<BR>\n" );
document.write( "Let t = time in hrs and h = height in cm<BR>\n" );
document.write( "Red: h = 45 - 3t<BR>\n" );
document.write( "White: h = 30 - 1.5t<BR>\n" );
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document.write( "Which candle will last longer? How do you know?<BR>\n" );
document.write( "The white one. The red burns twice as fast, but it is less than twice as tall<BR>\n" );
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document.write( "If you burn both candles continuously (same start time) will they ever be the same height at the same time?<BR>\n" );
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document.write( "Use the equations to see how long (t), they will be the same height<BR>\n" );
document.write( "30 - 1.5t = 45 - 3t<BR>\n" );
document.write( "+3t - 1.5t = 45 - 30<BR>\n" );
document.write( "1.5t = 15<BR>\n" );
document.write( "t = 15/1.5<BR>\n" );
document.write( "t = 10 hrs they will be the same<BR>\n" );
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document.write( "Check the height when they are the same:<BR>\n" );
document.write( "45 - (3*10) = 15\"<BR>\n" );
document.write( "30 - (1.5*10) = 15\"<BR>\n" );
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