document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=701369>Question 701369</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a 13 inch candle is lit and begins to burn at a constant rate.aftter 1.5 minutes,the candles new height is 2.5 inches.write a linear function for the height of the candle as a function of time .\r<BR>\n" );
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document.write( "what will be the height of the candle after 2 minutes ? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #432391 by </B><A HREF=/tutors/aboutme.mpl?userid=graphmatics><B>graphmatics(170)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=graphmatics><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=graphmatics><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=432391\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let z be the constant rate of decline in inches of the burning candle. clearly after x minutes the candle will have declined <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%2Ax ALIGN=MIDDLE  ALT=\"z%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches. At the rate of z, after x minutes the height y of the candle is given by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=13-z%2Ax ALIGN=MIDDLE  ALT=\"y=13-z%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches. We know that at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1.5 ALIGN=MIDDLE  ALT=\"x=1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes the height of the candle is 2.5 inches, so for the given decline rate of z inches per minute, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2.5=13-1.5%2Az ALIGN=MIDDLE  ALT=\"2.5=13-1.5%2Az\"   DISABLED_style= \"max-width:90%; height:auto;\" >. We solve this expression for the decline rate z, i.e. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z=%282.5-13%29%2F%28-1.5%29=7 ALIGN=MIDDLE  ALT=\"z=%282.5-13%29%2F%28-1.5%29=7\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches per minute. Our candle height of y inches of the candle after x minutes is given by the expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=13-7%2Ax ALIGN=MIDDLE  ALT=\"y=13-7%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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