document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=529309>Question 529309</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Need assistance with this, i cant figure it out. It's driving me mad. Thank you.\r<BR>\n" );
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document.write( "Lena is choosing between two exercise routines.\r<BR>\n" );
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document.write( "In routine #1, she burns 25 calories walking. She then runs at a rate that burns 18 calories per minute.\r<BR>\n" );
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document.write( "In routine #2, she burns 49 calories walking. She then runs at a rate that burns 14 calories per <BR>\n" );
document.write( "minute.\r<BR>\n" );
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document.write( "For what amount of time spent running will routine #1 burn fewer calories than routine#2? Use t for the number of minutes spent running, and solve your inequality for t. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #349543 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=349543\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > = minutes spent running<BR>\n" );
document.write( "given:<BR>\n" );
document.write( "Routine #1<BR>\n" );
document.write( "Calories burnt = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+25+%2B+18t+ ALIGN=MIDDLE  ALT=\"+25+%2B+18t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Routine #2<BR>\n" );
document.write( "Calories burnt = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+49+%2B+14t+ ALIGN=MIDDLE  ALT=\"+49+%2B+14t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "------------------------<BR>\n" );
document.write( "Let calories burnt = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=C ALIGN=MIDDLE  ALT=\"C\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The question is:<BR>\n" );
document.write( "for what values of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" > is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+49+%2B+14t+%3E+25+%2B+18t+ ALIGN=MIDDLE  ALT=\"+49+%2B+14t+%3E+25+%2B+18t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+14t+ ALIGN=MIDDLE  ALT=\"+14t+\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+49+%3E+25+%2B+4t+ ALIGN=MIDDLE  ALT=\"+49+%3E+25+%2B+4t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+25 ALIGN=MIDDLE  ALT=\"+25\"   DISABLED_style= \"max-width:90%; height:auto;\" > from both sides<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+24+%3E+4t+ ALIGN=MIDDLE  ALT=\"+24+%3E+4t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+6+%3E+t+ ALIGN=MIDDLE  ALT=\"+6+%3E+t+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "or, what is the same,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+%3C+6+ ALIGN=MIDDLE  ALT=\"+t+%3C+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, for all values of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t+%3C+6+ ALIGN=MIDDLE  ALT=\"t+%3C+6+\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes spent running, <BR>\n" );
document.write( "The calories burnt using routine #1 are less than<BR>\n" );
document.write( "the calories burnt using #2<BR>\n" );
document.write( "Here's a plot of routine #1 and #2:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-1%2C+7%2C+-5%2C+150%2C+18x+%2B+25%2C+14x+%2B+49+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-1%2C+7%2C+-5%2C+150%2C+18x+%2B+25%2C+14x+%2B+49+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The bottom line is routine #1. You can see that when <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t+=+0+ ALIGN=MIDDLE  ALT=\"+t+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+C+=+25+ ALIGN=MIDDLE  ALT=\"+C+=+25+\"   DISABLED_style= \"max-width:90%; height:auto;\" > as it should, and they meet at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=6 ALIGN=MIDDLE  ALT=\"t=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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