document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1060353>Question 1060353</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Mrs. Chan is planning to take her camp group on a field trip to pottery Bayou where each person will create her own piece of art pottery. The regular cost is $40 per person. There is a group special which cost $25 per person with an additional $150 fee for a private room. Mrs. Chan is  is trying to decide if she should use the regular price or the group special. <BR>\n" );
document.write( "(A) write an equation to show the total cost of the regular price with X people <BR>\n" );
document.write( "(B)  Write and equation to show the total cost of the group special with X people <BR>\n" );
document.write( "(C)  Graph the equations <BR>\n" );
document.write( "(D)  when what the two admission prices be the same <BR>\n" );
document.write( "(E)  how much would it cost to bring six people on the field trip for the regular price, and how much for the group special ?<BR>\n" );
document.write( "(F)  when would it be better to go with the regular price and when would it be better to go with the group special? Explain how you know this <BR>\n" );
document.write( "(G)  The director of the camp told Mrs. Chan  that she can have a budget of $300 to bring as many campers that she can what Deal should mrs.chan   Go with and what is the maximum number of people she can bring with $300? Support your answer by showing how many people can go with each deal. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #675322 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=675322\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x represent the number of people<BR>\n" );
document.write( ":<BR>\n" );
document.write( "A) Regular Cost = 40x<BR>\n" );
document.write( ":<BR>\n" );
document.write( "B) Group Cost = 25x + 150<BR>\n" );
document.write( ":<BR>\n" );
document.write( "C) equation graph A is the red line, B is the green line<BR>\n" );
document.write( "x axis(each tick mark is one person), y axis(each tick mark is $100)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+0%2C+15%2C+0%2C+600%2C+40x%2C+25%2Ax+%2B150%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+0%2C+15%2C+0%2C+600%2C+40x%2C+25%2Ax+%2B150%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "D) The admission prices are the same when there are 10<BR>\n" );
document.write( "people and the cost is $400<BR>\n" );
document.write( ":<BR>\n" );
document.write( "E) 6 people, regular price = 40 * 6 = $240<BR>\n" );
document.write( "6 people, group price = (25 * 6) + 150 = $300 <BR>\n" );
document.write( ":<BR>\n" );
document.write( "F) We look at the graph of the two cost functions<BR>\n" );
document.write( "The regular cost function is cheaper when we have less than 10 people<BR>\n" );
document.write( "The group cost is cheaper when we have more than 10 people<BR>\n" );
document.write( ":<BR>\n" );
document.write( "G) we solve each cost function for x when the cost is $300<BR>\n" );
document.write( "40x = 300<BR>\n" );
document.write( ":<BR>\n" );
document.write( "x = 7.5 people<BR>\n" );
document.write( ":<BR>\n" );
document.write( "25x + 150 = 300<BR>\n" );
document.write( "25x = 150<BR>\n" );
document.write( "x = 6<BR>\n" );
document.write( ":<BR>\n" );
document.write( "regular price allows us to bring 7 people, one person more than group price<BR>\n" );
document.write( ":<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );