document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=275004>Question 275004</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The number of miles M that a certain automobile can travel on one gallon of gasoline at a speed of v mi/hr is given by M=-1/30v^2+5/2v<BR>\n" );
document.write( "for 0<v<70.\r<BR>\n" );
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document.write( "a) Find the most economical speed for a trip.<BR>\n" );
document.write( "b) Find the largest value of M. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #200665 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=200665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The number of miles M that a certain automobile can travel on one gallon of gasoline at a speed of v mi/hr is given by M=-1/30v^2+5/2v<BR>\n" );
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document.write( "a) Find the most economical speed for a trip.<BR>\n" );
document.write( "The max M is at the vertex: v = -b/2a = -(5/2)/(-1/15)<BR>\n" );
document.write( "v = 75/2 mph = 37.5 mph<BR>\n" );
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document.write( "b) Find the largest value of M.<BR>\n" );
document.write( "M(75/2) = -(1/30)*(75/2)^2 + (5/2)*(75/2)<BR>\n" );
document.write( "M = 46.875 mpg<BR>\n" );
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document.write( "Don't do it in the left lane.<BR>\n" );
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