document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1088031>Question 1088031</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A T-shirt shop charges $18 per shirt for orders of 32 shirts or fewer. Once an order exceeds  32 shirts, the price drops to $17.5 for each additional shirt order. Write a piecewised defined function C to represent  the total cost of an order based on the number of shirts x.       C(x)=_____if x <= 32 C(x)=_____if x>32 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #702336 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=702336\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=\"black\" face=\"times\" size=\"3\"><BR>\n" );
document.write( "x = number of shirts ordered\r<BR>\n" );
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document.write( "<font color=blue>A T-shirt shop charges $18 per shirt for orders of 32 shirts or fewer.</font> means C(x) = <font color=blue>18x</font> if x <= 32\r<BR>\n" );
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document.write( "<font color=green>Once an order exceeds 32 shirts, the price drops to $17.5 for each additional shirt order.</font> means C(x) = <font color=green>17.50(x-32)+576</font> if x > 32.\r<BR>\n" );
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document.write( "The \"576\" comes from the fact that 32*18 = 576. This is the total amount spent from buying the first 32 shirts (at $18 a shirt). This is the largest amount you can spend for the first piece of the piecewise function. \r<BR>\n" );
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document.write( "The portion 17.50(x-32) represents the added cost of buying some additional number of shirts over 32. For example, if x = 35, then x-32 = 35-32 = 3 additional shirts are bought at 17.50, meaning the cost for this portion is 17.50*(x-32) = 17.50*3 = 52.50 which is added onto the 576 to get the total cost for buying 35 shirts.<BR>\n" );
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