document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=69669>Question 69669</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Word problem-The number of case of HIV/AIDS worldwide is modeled by the equation y=2x+33, where y represents the number of HIV/AIDS cases, in millions, and x reprsents the number of years since 1999 (i.e., the beginning of 1999 corresponds to x=0). \r<BR>\n" );
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document.write( "a) Going by the equation, how many people with HIV/AIDS were there in 2002?<BR>\n" );
document.write( "b) If it continues, in what year will the number of cases reach 60 million?<BR>\n" );
document.write( "c) How much do the number of people with HIV/AIDS increase or decrease each year?<BR>\n" );
document.write( "d) Graph the equation, for the years between 1999 and 2019? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #49635 by </B><A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><B>tutorcecilia(2152)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tutorcecilia><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=tutorcecilia><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=49635\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y=2x+33 [plug-in the values for x and solve for y]<BR>\n" );
document.write( "y=2(0)+33 [x=0 in 1999; solve for y]<BR>\n" );
document.write( "y=33Million<BR>\n" );
document.write( "Create a table of values:<BR>\n" );
document.write( "x........................y<BR>\n" );
document.write( "1999(0)......33M<BR>\n" );
document.write( "2000(1)......35M<BR>\n" );
document.write( "2001(2)......37M<BR>\n" );
document.write( "2002(3)......39<BR>\n" );
document.write( "2003(4).......41<BR>\n" );
document.write( "2004(5).......43<BR>\n" );
document.write( "2005(6).......45<BR>\n" );
document.write( "2006(7).......47<BR>\n" );
document.write( "etc.\r<BR>\n" );
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document.write( ".<BR>\n" );
document.write( "a) Going by the equation, how many people with HIV/AIDS were there in 2002?<BR>\n" );
document.write( "y=2x+33 [plug-in x=3 (2002) and solve for y]<BR>\n" );
document.write( "y-2(3)+33<BR>\n" );
document.write( "y=6+33<BR>\n" );
document.write( "y=39Million cases<BR>\n" );
document.write( ".\r<BR>\n" );
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document.write( "b) If it continues, in what year will the number of cases reach 60 million?<BR>\n" );
document.write( "y=2x+33 [Let y=60M and solve for x]<BR>\n" );
document.write( "60=2x+33<BR>\n" );
document.write( "60-33=2x<BR>\n" );
document.write( "27=2x<BR>\n" );
document.write( "27/2=2x/2<BR>\n" );
document.write( "13.5=x or year 2012.5\r<BR>\n" );
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document.write( ".c) How much do the number of people with HIV/AIDS increase or decrease each year?<BR>\n" );
document.write( "Use the slope to solve.<BR>\n" );
document.write( "m=2 or m=2/1<BR>\n" );
document.write( "So for every one year, 2 million cases are added.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "d) Graph the equation, for the years between 1999 and 2019?<BR>\n" );
document.write( "For 2019, let x=20<BR>\n" );
document.write( "y=2(20)+33<BR>\n" );
document.write( "y=40+33<BR>\n" );
document.write( "y=73\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-20%2C+25%2C+-15%2C+90%2C+2x%2B33%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-20%2C+25%2C+-15%2C+90%2C+2x%2B33%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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