document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1097308>Question 1097308</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The Surf club at a college in California wants to charter a bus for a surf trip in Mexico. It costs $2600 to rent the bus and each student will pay $370 for lodging, meals, and surfboard rentals. \r<BR>\n" );
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document.write( "A) Let C(n) be the total cost for n students going on the trip. Find an equation for C: C(n)= \r<BR>\n" );
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document.write( "B) Let M(n) be the mean (or average) cost per student (in dollars per student) if n students go on the trip. Find an equation for M:<BR>\n" );
document.write( "M(n)= \r<BR>\n" );
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document.write( "C) What is the mean cost if 6 students go? Mean cost = \r<BR>\n" );
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document.write( "D) The surf trip will be cancelled unless the mean cost per student is less than $453. What is the minimum number of students needed to go on the trip so it won't be cancelled? Your answer should be an integer. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #711717 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=711717\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> C(n)=2600+370(n)<BR>\n" );
document.write( "M(n)=C(n)/n=(2600+370(n))/n<BR>\n" );
document.write( "Mean for 6 is cost/6 or 2600+2220 divided by 6, 4820/6=$813.33.<BR>\n" );
document.write( "453=(2600+370n)/n<BR>\n" );
document.write( "453n=2600+370n<BR>\n" );
document.write( "83n=2600<BR>\n" );
document.write( "n=31.32 and round up to 32 students, where the cost will be 2600+32(370)=14440<BR>\n" );
document.write( "divide that by 32 to get $451.25 </SPAN>\n" );
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