document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1160016>Question 1160016</A>: <I><SPAN STYLE=\"word-break: break-all;\"> List or describe the elements in the domain of your real world example  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #783171 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=783171\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "Remember that DOMAIN describes the values that x (or the independent variable) can<BR>\n" );
document.write( "be in the problem and RANGE describes the values that y (or the dependent<BR>\n" );
document.write( "variable) can be in the problem.\r<BR>\n" );
document.write( "\n" );
document.write( "A local youth group is planning a trip to a local amusement park. <BR>\n" );
document.write( "They are taking their church bus which holds <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32 ALIGN=MIDDLE  ALT=\"32\"   DISABLED_style= \"max-width:90%; height:auto;\" > people. <BR>\n" );
document.write( "It will cost $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25 ALIGN=MIDDLE  ALT=\"25\"   DISABLED_style= \"max-width:90%; height:auto;\" > for parking and tickets to enter the park are $<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=22.50 ALIGN=MIDDLE  ALT=\"22.50\"   DISABLED_style= \"max-width:90%; height:auto;\" > per person. <BR>\n" );
document.write( "The equation that models this situation is: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%28n%29+=+22.5n+%2B+25 ALIGN=MIDDLE  ALT=\"c%28n%29+=+22.5n+%2B+25\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "where<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+c ALIGN=MIDDLE  ALT=\"+c\"   DISABLED_style= \"max-width:90%; height:auto;\" > represents the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cost ALIGN=MIDDLE  ALT=\"cost\"   DISABLED_style= \"max-width:90%; height:auto;\" > for the group to go the park and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > represents the number of people who go on this excursion. \r<BR>\n" );
document.write( "\n" );
document.write( "In this problem, for the domain, the problem says that the bus can only hold <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32 ALIGN=MIDDLE  ALT=\"32\"   DISABLED_style= \"max-width:90%; height:auto;\" > people,<BR>\n" );
document.write( "so I know that my domain has to be less than or equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32 ALIGN=MIDDLE  ALT=\"32\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "However, since negative numbers are also less than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32 ALIGN=MIDDLE  ALT=\"32\"   DISABLED_style= \"max-width:90%; height:auto;\" > and I can’t have negative people (my independent variable), I have to have a lower limit on my domain of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "\n" );
document.write( "so, domain is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3C=n%3C=32 ALIGN=MIDDLE  ALT=\"0%3C=n%3C=32\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "List the elements: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=D ALIGN=MIDDLE  ALT=\"D\"   DISABLED_style= \"max-width:90%; height:auto;\" >=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0 ALIGN=MIDDLE  ALT=\"0\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,.....<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32 ALIGN=MIDDLE  ALT=\"32\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "To find the range values, I simply use the limits I set on the domain and substitute those<BR>\n" );
document.write( "values into my equation to find my limits on the range.<BR>\n" );
document.write( "n=0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%280%29+=+22.5%2A0+%2B+25=25 ALIGN=MIDDLE  ALT=\"c%280%29+=+22.5%2A0+%2B+25=25\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%2832%29+=+22.5%2A32+%2B+25=745 ALIGN=MIDDLE  ALT=\"c%2832%29+=+22.5%2A32+%2B+25=745\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( "so, the range is: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=25%3C=c%28n%29%3C=745 ALIGN=MIDDLE  ALT=\"25%3C=c%28n%29%3C=745\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );