document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=534079>Question 534079</A>: <I><SPAN STYLE=\"word-break: break-all;\"> At 3:00 p.m., Catanya and Chad had already made 46 candles. By 5:00 p.m., the total reached 100 candles. Assuming a constant production rate, at what time did they make their 82nd candle?\r<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 #351317 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=351317\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If not studying linear functions, the problem can be visualized and solved easily:<BR>\n" );
document.write( "In 2 hours (between 3:00 PM and 5:00 PM) they made 54 candles.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100-46=54 ALIGN=MIDDLE  ALT=\"100-46=54\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Assuming a constant production rate, that's 27 candles per hour.<BR>\n" );
document.write( "By the time they finish their 81st candle the number of candles made after 3:00 PM will be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81-54=27 ALIGN=MIDDLE  ALT=\"81-54=27\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and the required time to make those 27 candles would be exactly one hour, so one hour after 3:00 PM (at 4:00 PM) they would have made 81 candles.<BR>\n" );
document.write( "Assuming a constant production rate, 27 candles in 60 minutes means the time (in minutes) required to make one candle is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%2F27=20%2F9 ALIGN=MIDDLE  ALT=\"60%2F27=20%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That's a little more than 2 minutes.<BR>\n" );
document.write( "So at 4:00 PM they would start working on that 82nd candle and they would be done (and already working on the next one) by 4:03 PM.<BR>\n" );
document.write( "If already studying linear functions, you would make it complicated. You would think of the number of candles as a function of time, write it as a function, talk about its slope and intercepts (maybe even graph it), set up a linear equation and solve it. If that's what you are expected to do (hopefully it's not), we could show you how. Just ask. </SPAN>\n" );
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