document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=326772>Question 326772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this problem. Thank you so much\r<BR>\n" );
document.write( "\n" );
document.write( "3)	A marketing group developing online ad space is offering two payment options:<BR>\n" );
document.write( "Option 1:  $210 set up fee plus $10/inch of the ad<BR>\n" );
document.write( "Option 2:  No set up fee but $25/inch of the ad.<BR>\n" );
document.write( "	Let x = inches of the proposed ad, for example, x = 2 for a column ad that is 2” long. <BR>\n" );
document.write( "a)	Write a mathematical model representing the total ad cost, C, in terms of x for the following:<BR>\n" );
document.write( "Option 1: C=_________________<BR>\n" );
document.write( "Option 2: C=_________________	<BR>\n" );
document.write( "b)	How many inches of ad space would need to be purchased for option 1 to be less than option 2? Set up an inequality and show your work algebraically using the information in part a.  Summarize your findings in a brief sentence.<BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #234006 by </B><A HREF=/tutors/aboutme.mpl?userid=jessica43><B>jessica43(140)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jessica43><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=234006\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For option 1, you know that the total ad cost is equal to a $210 set up fee plus $10 per inch of add.  This can be written as:<BR>\n" );
document.write( "C = 210 + 10x (where x = inches of the add)<BR>\n" );
document.write( "For option 2, you know that the total ad cost is equal to no set up fee plus $25 per inch of add:<BR>\n" );
document.write( "C = 0 + 25x<BR>\n" );
document.write( "C = 25x<BR>\n" );
document.write( "Now for part (b), we need to set up an inequality that will answer the question of how many inches of ad space are needed for option 1 to be less than option 2.  So set option 1 less than option 2:<BR>\n" );
document.write( "option 1 < option 2<BR>\n" );
document.write( "210 + 10x < 25x<BR>\n" );
document.write( "Now solve for x:<BR>\n" );
document.write( "210 + 10x < 25x<BR>\n" );
document.write( "210 + 10x - 10x < 25x - 10x<BR>\n" );
document.write( "210 < 15x<BR>\n" );
document.write( "210/15 < 15x/15<BR>\n" );
document.write( "14 < x <BR>\n" );
document.write( "So you know the ad has to be greater than 14 inches long for option 1 to cost less than option 2. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );