document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=895070>Question 895070</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A quarter mile running track has the formula for the inside perimeter as P=2&#960;r+2x.<BR>\n" );
document.write( "a)Solve the perimeter formula for r.<BR>\n" );
document.write( "b)For a quarter mile track, P=440 yards. Find r when x=75 yards, 100 yards, 120 yards, and 150 yards.<BR>\n" );
document.write( "c)What are the greatest and least possible values of r if P=440 yards? Explain how you found the values, and sketch the track according to each extreme value. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #542535 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39630)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=542535\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To answer (a) and (b), you simply have r as a factor in only one term, so solving for r is simple.  For (b), you just substitute the values and evaluate ------ r.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2pi%2Ar%2B2x ALIGN=MIDDLE  ALT=\"P=2pi%2Ar%2B2x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P-2x=2pi%2Ar ALIGN=MIDDLE  ALT=\"P-2x=2pi%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28%28P-2x%29%2F%282pi%29=r%29 ALIGN=MIDDLE  ALT=\"highlight%28%28P-2x%29%2F%282pi%29=r%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Question part (c) is not complicated.  P or r is a linear function of r or P.  Same with r and x.  Think about the formula given, and you understand that x is the straight length of the track.  If the track has NO straight section to length then you simply have a circular track, and x=0.  Clear, right?  r is what now?  \r<BR>\n" );
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document.write( "Look again:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2pi%2Ar%2B2x ALIGN=MIDDLE  ALT=\"P=2pi%2Ar%2B2x\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and if x becomes zero, then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2pi%2Ar%2B2%2A0 ALIGN=MIDDLE  ALT=\"P=2pi%2Ar%2B2%2A0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P=2pi%2Ar ALIGN=MIDDLE  ALT=\"P=2pi%2Ar\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=r=P%2F%282pi%29 ALIGN=MIDDLE  ALT=\"r=P%2F%282pi%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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