document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1119075>Question 1119075</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The cost of hiring a catering service to serve food for a party is 150 pesos per head for 20 persons or less,130 pesos per head for 21 to 50 persons and<BR>\n" );
document.write( "110 pesos per head for 51 to 100 persons.For 101 or more persons,the cost is at 100 pesos per head.Represent the total cost as a piecewise function of the number or attendances of the party. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #734649 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=734649\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> cost is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "150 pesos per head for 20 persons or less.<BR>\n" );
document.write( "130 pesos for 21 to 50 persons.<BR>\n" );
document.write( "110 pesos per head for 51 to 100 persons.<BR>\n" );
document.write( "100 pesos per head for 101 or more pesos.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "let f(x) represent the cost function.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "let x represent the number of persons.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your piece-wise function would look like:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(x) = 150 * x for 0 <= x <= 20<BR>\n" );
document.write( "f(x) = 130 * x for 21 <= x <= 50<BR>\n" );
document.write( "f(x) = 110 * x for 51 <= x <= 100<BR>\n" );
document.write( "f(x) = 100 * x for x >= 101\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "alternatively, it could also be written as:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "f(x) = 0 for x = 0<BR>\n" );
document.write( "f(x) = 150 * x for 0 < x <= 20<BR>\n" );
document.write( "f(x) = 130 * x for 20 < x <= 50<BR>\n" );
document.write( "f(x) = 110 * x for 50 < x <= 100<BR>\n" );
document.write( "f(x) = 100 * x for 100 < x <= infinity\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "there are various ways to express it, but the main idea is that the function f(x) is defined differently for different intervals of x.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "here's a reference:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<a  rel=nofollow HREF= \"https://www.mathsisfun.com/sets/functions-piecewise.html\" target = \"_blank\">https://www.mathsisfun.com/sets/functions-piecewise.html</a>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );