document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1038598>Question 1038598</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem \r<BR>\n" );
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document.write( "  Emma and Brandon drive away from a camp ground.<BR>\n" );
document.write( "Emma went North and Brandon went east. Emma's speed is 40kph and Brandon's speed is 75kph<BR>\n" );
document.write( " a) express the distance between cars as a function of time  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #653304 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=653304\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rate * time = distance.\r<BR>\n" );
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document.write( "for emma, rate * time = distance becomes 40 * time = distance.\r<BR>\n" );
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document.write( "for brandon, rate * time = distance becomes 75 * time = distance.\r<BR>\n" );
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document.write( "emma is traveling north.<BR>\n" );
document.write( "brandon is traveling east.\r<BR>\n" );
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document.write( "the distance that emma is traveling is represented by 40 * time.<BR>\n" );
document.write( "the distance that brandon is traveling is represented by 75 * time.\r<BR>\n" );
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document.write( "the end points that each is traveling form the hypotenuse of a right triangle.\r<BR>\n" );
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document.write( "the length of the hypotenuse is equal to the square root of (emma's distance squared plus brandon's distance squared).\r<BR>\n" );
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document.write( "since emma's distance traveled is represented by 40 * time, and brandon's distance traveled is represented by 75 * time, the length of the hypotenuse becomes equal to the square root of (40 * time)^2 + (75 * time)^2)\r<BR>\n" );
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document.write( "the distance that each traveled and the distance them will be different depending on the time traveled.\r<BR>\n" );
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document.write( "if you allow the distance between them to be represented by y, and you allow the time traveled to be represented by x, then this can be shown graphically.\r<BR>\n" );
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document.write( "that graph is shown below, along with the values for distance between them when time is equal to 5 hours and when time is equal to 10 hours.\r<BR>\n" );
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document.write( "those values are the coordinate points of (5,425) and (10,850).\r<BR>\n" );
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document.write( "the coordinate point of (x,y) = (5,425) says that the distance between them (the y-coordinate) is 425 kilometers per hour when the time (the x-coordinate) is 5 hours.\r<BR>\n" );
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document.write( "similar interpretations go for the coordinate point of (x,y) = (10,850).\r<BR>\n" );
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document.write( "here's the graph.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/061902.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "here's the picture of the triangle formed that gives you the geometric relationship that creates the formula for the distance between.\r<BR>\n" );
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document.write( "the distance between them is the hypotenuse of the right triangle formed.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/061903.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "the formula used to find the length of the distance between them is the pythagorus formula of a^2 + b^2 = c^2, where a and b are legs of the right triangle and c is the hypotenuse of the right triangle.<BR>\n" );
document.write( "a represents the distance that emma traveled, which is equal to 40 * time.<BR>\n" );
document.write( "b represents the distance that brandon traveled, which is equal to 75 * time.<BR>\n" );
document.write( "c represents the distance between them. </SPAN>\n" );
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