document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1043134>Question 1043134</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a math class with 20 students,  the grades on a recent quiz ranged from 0 to 10,  inclusive.  The average grade of the first 12 quiz papers the teacher marked was 7.5.  If x is the average grade for the class on this quiz,  then which of the following could be the possible grade range?  <BR>\n" );
document.write( "A)  4 &#8804; x &#8804; 8.5 .<BR>\n" );
document.write( "B)  4 &#8804; x &#8804; 7.5 <BR>\n" );
document.write( "C)  3.5 &#8804; x &#8804; 7.5 <BR>\n" );
document.write( "D)  5 &#8804; x &#8804; 8.50 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #658242 by </B><A HREF=/tutors/aboutme.mpl?userid=LinnW><B>LinnW(1048)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=LinnW><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=LinnW><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=658242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> We have the average for 12 of the 20 students which is 7.5<BR>\n" );
document.write( "The maximum total of scores is 12 * 7.5 + 8 * 10<BR>\n" );
document.write( " 90 + 80 = 170<BR>\n" );
document.write( "So the maximum possible average is 170/20 = 8.5<BR>\n" );
document.write( "Now let's find the minimum possible average.<BR>\n" );
document.write( " 90 + 8 * 0 = 90<BR>\n" );
document.write( "90/20 = 4.5, which is the minimum possible average.<BR>\n" );
document.write( "So one could write 4.5 <= x <= 8.50<BR>\n" );
document.write( "Only answer D is consistent with this. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );