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 #182179 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=182179\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "We know the formula distance equals rate times time.  Since the rate is fixed at 60 mph, we can say:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ d\ =\ 60t\">\r<BR>\n" );
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document.write( "by substitution.\r<BR>\n" );
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document.write( "But we were asked for <b>d</b>istance as a function of <b>t</b>ime, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ d(t)\ =\ 60t\">\r<BR>\n" );
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document.write( "Any time you are asked to express <b>f</b>ernblatz as a function of e<b>x</b>tra special sauce, you simply write <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f(x)\ =\\"> [some expression involving <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x\">].  In general abstract mathematics, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE f(x)\">, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE g(x)\">, etc. make dandy function descriptors.  But when you are describing physical phenomenon (like your distance to time relationship), it often makes good sense to describe the function and the independent variable(s) using symbols that are more mnemonic.\r<BR>\n" );
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document.write( "You will see this again and again.  Examples:\r<BR>\n" );
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document.write( "A rectangle has a length 3 meters longer than its width.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ A(w)\ =\ w^2\ +\ 3w\">\r<BR>\n" );
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document.write( "The height of a projectile projected upward at an initial velocity from an initial height:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ h(t)\ =\ -\frac{1}{2}gt^2\ +\ v_ot\ +\ h_o\">\r<BR>\n" );
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document.write( "and so on...\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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