document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=93321>Question 93321</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Between 1992 and 1998 the percent of college freshman who planned to eventually get some type of medical degree can be approximated by s=-0.2369^2 + 1.425x + 6.905  where s represents the number of students and x represents the year. X=0 corresponds to 1992. In what year did this percentage reach a maximum?\r<BR>\n" );
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document.write( "Sorry, not from a text\r<BR>\n" );
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document.write( "Thanks in advance </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #67959 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=67959\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I made the 1st term into -.2369x^2, it makes more sense that way.<BR>\n" );
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document.write( "Between 1992 and 1998 the percent of college freshman who planned to eventually get some type of medical degree can be approximated by s=-0.2369x^2 + 1.425x + 6.905 where s represents the number of students and x represents the year. X=0 corresponds to 1992. In what year did this percentage reach a maximum? <BR>\n" );
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document.write( "s = -0.2369x^2 + 1.425x + 6.905<BR>\n" );
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document.write( "Since this is a quadratic equation in the form ax^2 + bx + c, we can find the<BR>\n" );
document.write( "axis of symmetry using the formula x = -b/(2a); a = -.2369, b = +1.425<BR>\n" );
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document.write( "x = -1.425/(2*-.2369)<BR>\n" );
document.write( "x = -1.425/-.4738<BR>\n" );
document.write( "x = +3.0<BR>\n" );
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document.write( "Substitute 3 for x in the original equation and find the vertex, that value will be the max s.<BR>\n" );
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document.write( "s = -.2369(3^2) + 1.425(3) + 6.905<BR>\n" );
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document.write( "s = -.2369(9) + 4.35 + 6.905<BR>\n" );
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document.write( "s = -2.13 + 4.35 + 6.91<BR>\n" );
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document.write( "s ~ 9 added to 1992 ~ 2001<BR>\n" );
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document.write( "Did this help? </SPAN>\n" );
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