document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181354>Question 181354</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Problem Solving<BR>\n" );
document.write( "12. LC Video rents a game machine for $10 and video games for $3 each. Big Vid rents a game machine for $7 and video games for $4 each.<BR>\n" );
document.write( "a) Write a linear equation to represent the total cost of renting a game machine and some video  games from LC Video.<BR>\n" );
document.write( "b) Write a linear equation to represent the total cost of renting a game machine and some video games from Big Vid.<BR>\n" );
document.write( "c) Find the point of intersection of the two lines from part a) and b).<BR>\n" );
document.write( "d) Explain what the point of intersection represents in this context.\r<BR>\n" );
document.write( "\n" );
document.write( "Thanksssssss and i need it today.. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135991 by </B><A HREF=/tutors/aboutme.mpl?userid=Mathtut><B>Mathtut(3670)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Mathtut><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=135991\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 12. LC Video rents a game machine for $10 and video games for $3 each. Big Vid rents a game machine for $7 and video games for $4 each.<BR>\n" );
document.write( "a) Write a linear equation to represent the total cost of renting a game machine and some video games from LC Video.<BR>\n" );
document.write( "b) Write a linear equation to represent the total cost of renting a game machine and some video games from Big Vid.<BR>\n" );
document.write( "c) Find the point of intersection of the two lines from part a) and b).<BR>\n" );
document.write( "d) Explain what the point of intersection represents in this context. <BR>\n" );
document.write( "Thanksssssss and i need it today..<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a)LC:C(g)=3(g)+10......where g is th number of games rented and C is the total cost.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b)BV:C(g)=4(g)+7......where g is th number of games rented and C is the total cost<BR>\n" );
document.write( ":<BR>\n" );
document.write( "c)C(g)=3(g)+10 <BR>\n" );
document.write( "..C(g)=4(g)+7<BR>\n" );
document.write( ":<BR>\n" );
document.write( "set equations equal to each other<BR>\n" );
document.write( ":<BR>\n" );
document.write( "3g+10=4g+10<BR>\n" );
document.write( ":<BR>\n" );
document.write( "g=3<BR>\n" );
document.write( ":<BR>\n" );
document.write( "take g's value and plug it into either equation to find C(g). I choose LC<BR>\n" );
document.write( ":<BR>\n" );
document.write( "C(g)=3(3)+10<BR>\n" );
document.write( ":<BR>\n" );
document.write( "C(g)=19<BR>\n" );
document.write( ":<BR>\n" );
document.write( "so (3,19) are the point of intersection<BR>\n" );
document.write( ":<BR>\n" );
document.write( "d) this is the point at which both companies have the same cost </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );