document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1153072>Question 1153072</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Gonzo and his friend Duke are heading out to San Diego on a road trip. From Gonzo's front door to downtown San Diego, the trip is 525 miles. Answer the following questions based upon this situation.<BR>\n" );
document.write( "Use the relationship, Distance = Rate times Time or d=rt, to write a rational function T(r) that has the rate of travel, r (in mph), as its input and the time of travel (in hours) as its output.\r<BR>\n" );
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document.write( "1. Solve the equation <BR>\n" );
document.write( "d=rt for t. What is the new equation?\r<BR>\n" );
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document.write( "  \r<BR>\n" );
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document.write( "2. Rewrite your new equation as a function where t= T(r)and d = 525:T(r)=<BR>\n" );
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document.write( "Determine the driving time to reach San Diego if Gonzo and Duke drive 80 miles per hour. Round your answer to one decimal place\r<BR>\n" );
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document.write( "If Gonzo and Duke drive 80 miles per hour, the driving time for the trip will be about <BR>\n" );
document.write( " hours.<BR>\n" );
document.write( "If it takes Gonzo and Duke 7.5 hours of driving time to reach San Diego, determine how fast they drove.\r<BR>\n" );
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document.write( "If it takes Gonzo and Duke 7.5 hours of driving time to reach San Diego, they drove about <BR>\n" );
document.write( " miles per hour.<BR>\n" );
document.write( "Give the equation of the vertical asymptote of T(r)\r<BR>\n" );
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document.write( "Vertical Asymptote: <BR>\n" );
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document.write( "Complete the following sentence to explain its significance in this situation.<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 #775226 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=775226\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Gonzo and his friend Duke are heading out to San Diego on a road trip. From Gonzo's front door to downtown San Diego, the trip is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=525 ALIGN=MIDDLE  ALT=\"525\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles. Answer the following questions based upon this situation.<BR>\n" );
document.write( "Use the relationship, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=Distance+=+Rate+%2ATime ALIGN=MIDDLE  ALT=\"Distance+=+Rate+%2ATime\"   DISABLED_style= \"max-width:90%; height:auto;\" > or \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=rt ALIGN=MIDDLE  ALT=\"d=rt\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "to write a rational function <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%28r%29 ALIGN=MIDDLE  ALT=\"T%28r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > that has the rate of travel, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r ALIGN=MIDDLE  ALT=\"r\"   DISABLED_style= \"max-width:90%; height:auto;\" > (in mph), as its input and the time of travel (in hours) as its output.\r<BR>\n" );
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document.write( "1. Solve the equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=d=rt ALIGN=MIDDLE  ALT=\"d=rt\"   DISABLED_style= \"max-width:90%; height:auto;\" > for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t ALIGN=MIDDLE  ALT=\"t\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( " the new equation is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=t=d%2Fr ALIGN=MIDDLE  ALT=\"t=d%2Fr\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "2. Rewrite your new equation as a function where<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+t=+T%28r%29 ALIGN=MIDDLE  ALT=\"+t=+T%28r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+d+=+525 ALIGN=MIDDLE  ALT=\"+d+=+525\"   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=T%28r%29=525mil%2Fr%28mph%29 ALIGN=MIDDLE  ALT=\"T%28r%29=525mil%2Fr%28mph%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Determine the driving time to reach San Diego if Gonzo and Duke drive <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=80%28mil%2Fh%29 ALIGN=MIDDLE  ALT=\"r=80%28mil%2Fh%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles per hour. Round your answer to one decimal place\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%28r%29=525mil%2F80%28mil%2Fh%29 ALIGN=MIDDLE  ALT=\"T%28r%29=525mil%2F80%28mil%2Fh%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=T%28r%29=6.5625h ALIGN=MIDDLE  ALT=\"T%28r%29=6.5625h\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If Gonzo and Duke drive 80 miles per hour, the driving time for the trip will be about<BR>\n" );
document.write( "hours.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%28r%29=6.6h ALIGN=MIDDLE  ALT=\"T%28r%29=6.6h\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If it takes Gonzo and Duke <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7.5 ALIGN=MIDDLE  ALT=\"7.5\"   DISABLED_style= \"max-width:90%; height:auto;\" > hours of driving time to reach San Diego, determine how fast they drove.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7.5h=525mil%2Fr ALIGN=MIDDLE  ALT=\"7.5h=525mil%2Fr\"   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=r=525mil%2F7.5h ALIGN=MIDDLE  ALT=\"r=525mil%2F7.5h\"   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=r=70%28mil%2Fh%29 ALIGN=MIDDLE  ALT=\"r=70%28mil%2Fh%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If it takes Gonzo and Duke 7.5 hours of driving time to reach San Diego, they drove about<BR>\n" );
document.write( "miles per hour.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70%28mil%2Fh%29 ALIGN=MIDDLE  ALT=\"70%28mil%2Fh%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Give the equation of the vertical asymptote of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%28r%29 ALIGN=MIDDLE  ALT=\"T%28r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Vertical Asymptote:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T%28r%29=525mil%2Fr%28mph%29=%28525%2Fr%29h ALIGN=MIDDLE  ALT=\"T%28r%29=525mil%2Fr%28mph%29=%28525%2Fr%29h\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r-%3E0 ALIGN=MIDDLE  ALT=\"r-%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, vertical asymptote is at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=0 ALIGN=MIDDLE  ALT=\"r=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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