document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=227663>Question 227663</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A mail-order digital photo developer charges 8 cents for each print plus a $2.98 shipping fee. A local developer charges 15 cents for each print. How many digital prints must be ordered in order that: a. the local developer offers the lower price? b. the mail-order developer offers the lower price? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169115 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=169115\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P ALIGN=MIDDLE  ALT=\"P\"   DISABLED_style= \"max-width:90%; height:auto;\" >= price in cents for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p ALIGN=MIDDLE  ALT=\"p\"   DISABLED_style= \"max-width:90%; height:auto;\" > prints<BR>\n" );
document.write( "For mail-order developer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D+=+8p+%2B+298 ALIGN=MIDDLE  ALT=\"P%5B1%5D+=+8p+%2B+298\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "For local developer:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B2%5D+=+15p ALIGN=MIDDLE  ALT=\"P%5B2%5D+=+15p\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "When are the prices for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p ALIGN=MIDDLE  ALT=\"p\"   DISABLED_style= \"max-width:90%; height:auto;\" > prints equal?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D+=+P%5B2%5D ALIGN=MIDDLE  ALT=\"P%5B1%5D+=+P%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8p+%2B+298+=+15p ALIGN=MIDDLE  ALT=\"8p+%2B+298+=+15p\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7p+=+298 ALIGN=MIDDLE  ALT=\"7p+=+298\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p+=+42.6 ALIGN=MIDDLE  ALT=\"p+=+42.6\"   DISABLED_style= \"max-width:90%; height:auto;\" >, or 42 prints<BR>\n" );
document.write( "For 43 prints, the mail-order developer's price is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D+=+8%2A43+%2B+298 ALIGN=MIDDLE  ALT=\"P%5B1%5D+=+8%2A43+%2B+298\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D+=+344+%2B+298 ALIGN=MIDDLE  ALT=\"P%5B1%5D+=+344+%2B+298\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D+=+642 ALIGN=MIDDLE  ALT=\"P%5B1%5D+=+642\"   DISABLED_style= \"max-width:90%; height:auto;\" > or $6.42<BR>\n" );
document.write( "and the local developer's price is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B2%5D+=+15%2A43 ALIGN=MIDDLE  ALT=\"P%5B2%5D+=+15%2A43\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B2%5D+=+645 ALIGN=MIDDLE  ALT=\"P%5B2%5D+=+645\"   DISABLED_style= \"max-width:90%; height:auto;\" > or $6.45<BR>\n" );
document.write( "(b)The mail-order developer's price becomes cheaper at 43 prints<BR>\n" );
document.write( "and<BR>\n" );
document.write( "For 41 prints:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D+=+8%2A41+%2B+298 ALIGN=MIDDLE  ALT=\"P%5B1%5D+=+8%2A41+%2B+298\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D+=+328+%2B+298 ALIGN=MIDDLE  ALT=\"P%5B1%5D+=+328+%2B+298\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B1%5D=+626 ALIGN=MIDDLE  ALT=\"P%5B1%5D=+626\"   DISABLED_style= \"max-width:90%; height:auto;\" > or, $6.26<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B2%5D+=+15%2A41 ALIGN=MIDDLE  ALT=\"P%5B2%5D+=+15%2A41\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P%5B2%5D+=+615 ALIGN=MIDDLE  ALT=\"P%5B2%5D+=+615\"   DISABLED_style= \"max-width:90%; height:auto;\" > or, $6.15<BR>\n" );
document.write( "(a) The local developer's price remains cheapest up to 41 prints\r<BR>\n" );
document.write( "\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );