document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=288217>Question 288217</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with this please:\r<BR>\n" );
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document.write( "Tracy wants to purchase custom-made bumper stickers to advertise her business.  Two websites offer different deals:\r<BR>\n" );
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document.write( "Website A: Pay a fee of $127.00, plus $0.45 per bumper sticker<BR>\n" );
document.write( "Website B: Pay a fee of $100.00, plus $0.60 per bumper sticker.\r<BR>\n" );
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document.write( "At least how many bumper stickers must Tracy purchase in order for Website A to be the better choice?  \r<BR>\n" );
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document.write( "Write an appropriate inequality and solve it algebraically. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #208897 by </B><A HREF=/tutors/aboutme.mpl?userid=jaydducote><B>jaydducote(11)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jaydducote><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=jaydducote><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=208897\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You want website A to be the better choice.  In this case, since you are asked about the price of two different companies, the lower price is preferred.  An equal price is not a better price, so you will need to use > or < instead of greater/less than OR equal to.  Since you want website A to be a smaller price, your inequality needs to show that Website A < Website B.\r<BR>\n" );
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document.write( "Turn each website into an algebraic expression by identifying the variable and the constant.  The variable here is the bumper sticker.  The word \"per\" is always an indicator for a variable.  So your expressions could look like this:<BR>\n" );
document.write( "Website A: 127+0.45x<BR>\n" );
document.write( "Website B: 100+0.60x\r<BR>\n" );
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document.write( "The price of either company will be the fee plus a unit price times the number of units.\r<BR>\n" );
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document.write( "Now plug those expressions into the inequality:<BR>\n" );
document.write( "Website A < Website B<BR>\n" );
document.write( "127+0.45x<100+0.60x\r<BR>\n" );
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document.write( "Combine like terms.  Since 127 is bigger and on the left, I would subtract 100 from both sides to cancel it out on the right.<BR>\n" );
document.write( "127-100+0.45x<100-100+0.60x<BR>\n" );
document.write( "27+0.45x<0.60x<BR>\n" );
document.write( "Now do the same with the 0.45x<BR>\n" );
document.write( "27+0.45x-0.45x<0.60x-0.45x<BR>\n" );
document.write( "27<0.15x<BR>\n" );
document.write( "Now since the 0.15 is a coefficient of x, you need to divide.<BR>\n" );
document.write( "27/0.15<0.15x/0.15<BR>\n" );
document.write( "180<x\r<BR>\n" );
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document.write( "So this means that x must be greater than 180.  180 would not be a correct answer to this inequality because 180<180 is NOT true.  180=180 is true, but this says 180<x, so you need to pick the next number that would make this true.  180<179 is not true because 180 is greater than 179.  So the correct number to pick is 181.  180<181.  That is a true statement, and therefor the correct answer.  You must purchase 181 (or more) bumper stickers for Website A to be a better choice.  If you purchase 180 then they will be equal.  If you purchase 179 (or less), then Website B would be the better choice. </SPAN>\n" );
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