document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1110683>Question 1110683</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ms. Chen 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 $20 per person. There is a group special that costs $10 per person with an additional $50 fee for a private room. Ms. Chen is trying to decide if she should use the regular price or the group special.\r<BR>\n" );
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document.write( "A) Write an equation to show the total cost of the regular price with x people. \r<BR>\n" );
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document.write( "B) Write an equation to show the total cost of the group special with x people. \r<BR>\n" );
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document.write( "C) Graph the equations \r<BR>\n" );
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document.write( "D) When would the two admission prices be the same? Explain how you know this using 1-2 complete sentences. \r<BR>\n" );
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document.write( "E) How much would it cost to bring 6 people on the field trip for the regular price, and how much for the group special? Explain how you know this using 1-2 complete sentences. \r<BR>\n" );
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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 using 1-2 complete sentences. (2 points)\r<BR>\n" );
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document.write( "G) The director of the camp told Ms. Chen that she can have a budget of $150 to bring as many campers as she can. What deal should Ms. Chen go with and what is the maximum number of people she can bring with $150? Support your answer by showing how many people can go with each deal using 2-3 complete sentences.\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #725698 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=725698\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let x = number of people who can go.\r<BR>\n" );
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document.write( "regular cost is 20 per person, therefore 20x.\r<BR>\n" );
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document.write( "special cost is 50 plus 10 per person, therefore 50 + 10x\r<BR>\n" );
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document.write( "questions and answers shown below:\r<BR>\n" );
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document.write( "A) Write an equation to show the total cost of the regular price with x people. \r<BR>\n" );
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document.write( "cost = 20x\r<BR>\n" );
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document.write( "B) Write an equation to show the total cost of the group special with x people. \r<BR>\n" );
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document.write( "cost = 50 + 10x\r<BR>\n" );
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document.write( "C) Graph the equations \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2018/022702.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "D) When would the two admission prices be the same? Explain how you know this using 1-2 complete sentences. \r<BR>\n" );
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document.write( "the admission prices would be the same when 5 people go.\r<BR>\n" );
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document.write( "the regular admission price is 20 * 5 = 100\r<BR>\n" );
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document.write( "the special admission price is 50 + 10 * 5 = 100.\r<BR>\n" );
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document.write( "the graph shows the break even point.\r<BR>\n" );
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document.write( "E) How much would it cost to bring 6 people on the field trip for the regular price, and how much for the group special? Explain how you know this using 1-2 complete sentences. \r<BR>\n" );
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document.write( "the regular admission price is 20 * 6 = 120\r<BR>\n" );
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document.write( "the special price is 50 + 10 * y = 110\r<BR>\n" );
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document.write( "the special price is less.\r<BR>\n" );
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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 using 1-2 complete sentences. (2 points) \r<BR>\n" );
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document.write( "the break even point is 5 people.<BR>\n" );
document.write( "any number of people greater than 5 would be cheaper with the special price.<BR>\n" );
document.write( "any number of people less than 5 would be cheaper with the regular price.\r<BR>\n" );
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document.write( "you find this out by checking the prices with 4 people and checking the prices with 6 people.\r<BR>\n" );
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document.write( "you can also turn your cost equations into inequalities.\r<BR>\n" );
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document.write( "break even is when 20x = 50 + 10x\r<BR>\n" );
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document.write( "standard price is cheaper when 20x < 50 + 10x.\r<BR>\n" );
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document.write( "special price is chaeper when 50 + x < 20x.\r<BR>\n" );
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document.write( "solving for standard price being cheaper gets you x < 5.\r<BR>\n" );
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document.write( "start with 20x < 50 + 10x<BR>\n" );
document.write( "subtract 10x from both sides to get 10x < 50<BR>\n" );
document.write( "divide both sides by 10 to get x < 5\r<BR>\n" );
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document.write( "solving for special price being cheaper gets you x > 5.\r<BR>\n" );
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document.write( "start with 50 + 10x < 20x<BR>\n" );
document.write( "subtract 10x from both sides to get 50 < 10x<BR>\n" );
document.write( "divide both sides by 10 to get 5 < x<BR>\n" );
document.write( "this is the same as x > 5.\r<BR>\n" );
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document.write( "G) The director of the camp told Ms. Chen that she can have a budget of $150 to bring as many campers as she can. What deal should Ms. Chen go with and what is the maximum number of people she can bring with $150? Support your answer by showing how many people can go with each deal using 2-3 complete sentences. \r<BR>\n" );
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document.write( "set the cost equal to 150 and solve each equation.\r<BR>\n" );
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document.write( "with standard pricing, 150 = 20x.<BR>\n" );
document.write( "solve for x to get x = 150/20 = 7.5<BR>\n" );
document.write( "round down to 7.\r<BR>\n" );
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document.write( "with special pricing, 150 = 50 + 10x<BR>\n" );
document.write( "subtract 50 from both sides to get 100 = 10x<BR>\n" );
document.write( "solve for x to get x = 100/10 = 10\r<BR>\n" );
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document.write( "10 people can go with special pricing and only 7 people can go with regular pricing.\r<BR>\n" );
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