document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=53355>Question 53355</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780073268620/algebrahomeworkh>university of phoenix elementary and intermediate algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The percentage of women in the 20-24 age group who have never married went from 55% in 1970 to 73% in the 2000 (census Bureau). Let the 1970 be year 0 and 2000 be year 30.<BR>\n" );
document.write( "A. Find the intercept the slope of the line through the points (0,50) and (30,73).<BR>\n" );
document.write( "B. Find the equation of the line in part (a).<BR>\n" );
document.write( "C. What is the meaning of the y intercept?<BR>\n" );
document.write( "D. Use the equation to predict the percentage in 2010.<BR>\n" );
document.write( "e. If this trend continue, then in what year will the percentage of women in 20-24 age group who have never married reach 100%?<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #35674 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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=35674\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a)  The y intercept is what y= when x=0 (0,b).  The yintercept in this case is: (0,50)<BR>\n" );
document.write( "You find the slope (m) with the slope formula:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%28y2-y1%29%2F%28x2-x1%29 ALIGN=MIDDLE  ALT=\"m=%28y2-y1%29%2F%28x2-x1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(x1,y1)=(0,50);(x2,y2)=(30,73)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=%2873-50%29%2F%2830-0%29 ALIGN=MIDDLE  ALT=\"m=%2873-50%29%2F%2830-0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m=23%2F30 ALIGN=MIDDLE  ALT=\"m=23%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "m=.76667<BR>\n" );
document.write( "---------------------------------------------<BR>\n" );
document.write( "b)The slope intercept form of a line is:y=mx+b<BR>\n" );
document.write( "m=slope and (0,b) is the y-intercept<BR>\n" );
document.write( "In our case m=.76667 and the y-intercept is (0,b)=(0,50)<BR>\n" );
document.write( "y=.76667x+50<BR>\n" );
document.write( "-------------------------------------------------<BR>\n" );
document.write( "c)The y intercept represents the first data point we have of 55% of women (20-24)who've never been married in 1970 if the trend doesn't change.<BR>\n" );
document.write( "-------------------------------------------------------<BR>\n" );
document.write( "d) x=2010-1970=40<BR>\n" );
document.write( "y=.76667(40)+50<BR>\n" );
document.write( "y=30.6668+50<BR>\n" );
document.write( "y=80.6668<BR>\n" );
document.write( "The percentage of women (20-24) who've never been married should be 80.6668% in 2010 if the trend doesn't change.<BR>\n" );
document.write( "----------------------------------------------------------<BR>\n" );
document.write( "e)y=100<BR>\n" );
document.write( "100=.76667x+50<BR>\n" );
document.write( "100-50=.76667x=50-50<BR>\n" );
document.write( "50=.76667x<BR>\n" );
document.write( "50/.76667=.76667x/.76667<BR>\n" );
document.write( "65.217=x<BR>\n" );
document.write( "1970+65.217=2035.217<BR>\n" );
document.write( "The percentage of women (20-24) who've never been married should be 100% in the year 2035. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );