document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1082156>Question 1082156</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A local arcade offers 2 packages. You can either pay $30 a month for unlimited games or pay a monthy fee of $10.50 plus $0.75 per game. <BR>\n" );
document.write( "Write an equation that shows the number of games played and the cost of each membership if you pay $30 a month for unlimited games or $10.50 a month plus $0.75 per game.<BR>\n" );
document.write( "What is the slope of each equation?<BR>\n" );
document.write( "What information does the slope of each line represent in this context? <BR>\n" );
document.write( "What is the Y-intercept in each equation?<BR>\n" );
document.write( "What information does the Y-intercept of each line represent in this context?<BR>\n" );
document.write( "When will the cost be the same?<BR>\n" );
document.write( "Explain how to find from a table, a graph, and an equation.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #696243 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=696243\">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=+y+ ALIGN=MIDDLE  ALT=\"+y+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = monthly cost<BR>\n" );
document.write( "Let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+ ALIGN=MIDDLE  ALT=\"+x+\"   DISABLED_style= \"max-width:90%; height:auto;\" > = number of games played<BR>\n" );
document.write( "1st package:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+30+ ALIGN=MIDDLE  ALT=\"+y+=+30+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2nd package:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+y+=+.75x+%2B+10.5+ ALIGN=MIDDLE  ALT=\"+y+=+.75x+%2B+10.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "(1)<BR>\n" );
document.write( "The slope for 1st package is zero<BR>\n" );
document.write( "The slope for 2nd package is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.75+ ALIGN=MIDDLE  ALT=\"+.75+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "(2)<BR>\n" );
document.write( "The slope shows how fast the cost is<BR>\n" );
document.write( "change from month to month<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "(3)<BR>\n" );
document.write( "1st package:<BR>\n" );
document.write( "y-intercept = 30<BR>\n" );
document.write( "2nd package:<BR>\n" );
document.write( "y-intercept = .75<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "The y-intercept is the fixed cost before any<BR>\n" );
document.write( "games are played<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "When will the cost be the same?<BR>\n" );
document.write( "[ 1st package ] = [ 2nd package ]<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+30+=+.75x+%2B+10.5+ ALIGN=MIDDLE  ALT=\"+30+=+.75x+%2B+10.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+.75x+=+19.5+ ALIGN=MIDDLE  ALT=\"+.75x+=+19.5+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+26+ ALIGN=MIDDLE  ALT=\"+x+=+26+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The cost is the same when 26 games are played<BR>\n" );
document.write( "After that the 2nd package will cost more than<BR>\n" );
document.write( "the 1st<BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "Here's the plot:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+400%2C+400%2C+-3%2C+40%2C+-4%2C+40%2C+30%2C+.75x+%2B+10.5+%29+ ALIGN=MIDDLE  ALT=\"+graph%28+400%2C+400%2C+-3%2C+40%2C+-4%2C+40%2C+30%2C+.75x+%2B+10.5+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );