document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1102040>Question 1102040</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Shelly is rowing a boat upstream. The river is flowing at a speed of 3 miles per hour. Sharon starts rowing at a speed of 8 miles per hour, but as she gets tired her speed decreases (at a rate of 1.5 miles per hour, every hour).\r<BR>\n" );
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document.write( "Graph the equation that fits the description, where y represents Sharon's speed and x represents the time elapsed since the start of her workout. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #716711 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=716711\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x represents the elapsed time in hours.<BR>\n" );
document.write( "y represents the speed in miles per hour.<BR>\n" );
document.write( "she starts off at 8 miles per hour and her speed decreased by 1.5 miles per hour every hour.\r<BR>\n" );
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document.write( "the equation to model this is y = -1.5 * x + 8\r<BR>\n" );
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document.write( "since she is traveling against the current, and the current is traveling at a constant rate of 3 miles per hour, then her overall speed is 3 miles per hour less than if she were rowing in a still current (not with nor against).\r<BR>\n" );
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document.write( "the equation to model this is y = -1.5 * x + 8 - 3\r<BR>\n" );
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document.write( "simplify this to get y = -1.5 * x + 5.\r<BR>\n" );
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document.write( "you can graph this equation and then mark her speed at every hour.\r<BR>\n" );
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document.write( "she will be traveling at a net speed of 0 miles per hour in 3 and 1/3 hours.\r<BR>\n" );
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document.write( "when she can't row anymore, she will be traveling at 3 miles per hour in the opposite direction (the speed of the current).\r<BR>\n" );
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document.write( "the graph looks like this.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/112002.jpg\" alt=\"$$$\">\r<BR>\n" );
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document.write( "the domain of this graph starts at x = 0 and ends at x = 5 and 1/3.\r<BR>\n" );
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document.write( "x can't be less than 0 because time can't be negative.<BR>\n" );
document.write( "x can't be greater than 5 and 1/3 because she's completely exhausted and can't row anymore, either forward or backward.  she therefore can only drift backwards at the speed of the current.\r<BR>\n" );
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document.write( "her speed when she starts is a net 5 miles per hour.<BR>\n" );
document.write( "8 miles per hour rowing against 3 miles per hour of current.\r<BR>\n" );
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document.write( "when her net speed is 0 miles per hour, she is rowing at a speed of 3 miles per hour against a current of 3 miles per hour.<BR>\n" );
document.write( "this occurs in 3 and 1/3 hours.\r<BR>\n" );
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document.write( "when her net speed is -3 miles per hour, she is rowing at a speed of 0 miles per hour against a current of 3 miles per hour.<BR>\n" );
document.write( "this occurs in 5 and 1/3 hours.\r<BR>\n" );
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document.write( "the coordinates of the graph are in (x,y) format.<BR>\n" );
document.write( "x represents the hours she has been rowing.<BR>\n" );
document.write( "y represents her net speed.\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "at (2,2), she has been rowing for x = 2 hours and her net speed is y = 2 miles per hour.\r<BR>\n" );
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document.write( "per the formula, y = -1/5 * 2 + 5 which results in y = -3 + 5 resulting in y = 2.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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