document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=250253>Question 250253</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me help my daughter solve this homework problem.\r<BR>\n" );
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document.write( "For a car traveling at a constant rate of 60 mi/h, the distance traveled is a function of the time traveled.\r<BR>\n" );
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document.write( "a. Express this relation as a function<BR>\n" );
document.write( "b Find the range of the function when the domain is [1,5,10]<BR>\n" );
document.write( "c What do the domain and range represent?\r<BR>\n" );
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document.write( "I am thinking that the expressed function should be something like<BR>\n" );
document.write( "f(d) = (60m)h\r<BR>\n" );
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document.write( "We can solve b. once we can figure out how to express it as a function.\r<BR>\n" );
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document.write( "Thank you for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #182174 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=182174\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> rate * time = distance is the basic equation you have to work with.\r<BR>\n" );
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document.write( "the function is D = R*T where D = distance, R = rate of travel, T = time.\r<BR>\n" );
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document.write( "It would not be f(D), because then D would have to be the argument of the function and the arguments of the function are R and T.\r<BR>\n" );
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document.write( "They are giving you R as 60 mph, so that becomes a constant in your function rather than a variable.\r<BR>\n" );
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document.write( "your equation becomes D = 60*T\r<BR>\n" );
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document.write( "to write this in functional notation, you would say:\r<BR>\n" );
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document.write( "D = f(T) = 60*T\r<BR>\n" );
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document.write( "This means D is a function of T with the function expressed as 60*T.\r<BR>\n" );
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document.write( "T is the argument of the function.\r<BR>\n" );
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document.write( "60 * T are the rules establishing the relationship between T and D.\r<BR>\n" );
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document.write( "T is the independent variable.\r<BR>\n" );
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document.write( "D is the dependent variable because it depends on the value of T.\r<BR>\n" );
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document.write( "When the domain is [1,5,10], the range is [60*1,60*5,60*10]\r<BR>\n" );
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document.write( "When T = 1, f(T) = 60*1 = 60<BR>\n" );
document.write( "When T = 5, f(T) = 60*5 = 300<BR>\n" );
document.write( "When T = 10, f(T) = 60*10 = 600\r<BR>\n" );
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document.write( "The domain represents the amount of time traveled.  The assumption is that it is in hours although that was not stipulated.\r<BR>\n" );
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document.write( "The range represents the distance traveled.  That would be in miles.\r<BR>\n" );
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document.write( "A graph of your equation would look like this:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C600%2C-5%2C15%2C-100%2C700%2C60%2Ax%2C60%2C300%2C600%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C600%2C-5%2C15%2C-100%2C700%2C60%2Ax%2C60%2C300%2C600%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the horizontal lines represent the range of the function.\r<BR>\n" );
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document.write( "vertically down from that intersecting with the x-axis are the domain of the function.\r<BR>\n" );
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document.write( "you can see when T = 1, f(T) = 60, when T = 5, f(T) = 300, when T = 10, f(T) = 600\r<BR>\n" );
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document.write( " </SPAN>\n" );
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