document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028889>Question 1028889</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose d is the distance traveled in miles and t is the time traveled in hours at a speed of 50 miles per hour. Is d directly proportional to t? If it is, enter the constant of proportionality. Otherwise, enter NO. Do not enter units. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643983 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=643983\">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( "solve for time to get time = distance / rate.\r<BR>\n" );
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document.write( "this is the same as time = distance * (1/rate).\r<BR>\n" );
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document.write( "since the rate is constant, you can set k equal to 1/rate.\r<BR>\n" );
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document.write( "the formula becomes time = k * distance.\r<BR>\n" );
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document.write( "this means the time is directly proportional to the distance, as long as the speed is always the same.\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "you travel at 50 miles per hour for 2 hours.\r<BR>\n" );
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document.write( "your distance is 100 miles.\r<BR>\n" );
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document.write( "you travel at 50 miles per hour for 4 hours.\r<BR>\n" );
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document.write( "your distance is 200 miles.\r<BR>\n" );
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document.write( "you have a direct ratio of hours to miles.\r<BR>\n" );
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document.write( "2 hours is to 100 miles as 4 hours is to 200 miles.\r<BR>\n" );
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document.write( "2/100 = 4/200\r<BR>\n" );
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document.write( "cross multiply to get 2*200 = 4*100 which results in 400 = 400 which confirms the ratio is true.\r<BR>\n" );
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document.write( "the constant of proportionality is 1/50.\r<BR>\n" );
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document.write( "your equation is time = 1/50 * distance.\r<BR>\n" );
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document.write( "2 hours = 1/50 * 100 miles\r<BR>\n" );
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document.write( "4 hours = 1/50 * 200 miles\r<BR>\n" );
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document.write( " </SPAN>\n" );
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