document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=451657>Question 451657</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The equation y=5x+5 estimates the number of u.s. households in millions, expected to install devices that recieve and manage broadband TV and internet content to the home, where x is the number of years after 2002. for what years will there be at least 20 million homes with these devices? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #311649 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=311649\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The equation y=5x+5 estimates the number of u.s. households in millions, expected to install devices that recieve and manage broadband TV and internet content to the home, where x is the number of years after 2002. for what years will there be at least 20 million homes with these devices?<BR>\n" );
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document.write( "The given equation is the standard form for a straight line: y=mx+b, m=slope or rate of change and b=y-intercept.<BR>\n" );
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document.write( "For given equation, y=5x+5, the rate of change is 5 million devices/year increase, starting from year 2002 which in effect is the y-intercept at 5 million. Without doing any algebra, you can see it will take 3 years to increase devices in the home from 5 million to 20 milllion at 5 million increase per year.<BR>\n" );
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document.write( "Here is the algebra:<BR>\n" );
document.write( "y=5x+5<BR>\n" );
document.write( "20=5x+5<BR>\n" );
document.write( "5x=20-5=15<BR>\n" );
document.write( "y=3 years (ans)<BR>\n" );
document.write( "See the graph below for a visual of this line<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-2%2C+5%2C+-2%2C+30%2C+5x%2B5%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-2%2C+5%2C+-2%2C+30%2C+5x%2B5%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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