document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=221185>Question 221185</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Single Women.  The percentage of women in the 20-24 age group who have never married went from 55% in 1970 to 73% in 2000 (Census Bureau, www.census.gov).  Let 1970 be year 0 and 2000 be year 30.<BR>\n" );
document.write( "a.) find and interpret the slope of the line through the points (0, 55) and 70, 73).<BR>\n" );
document.write( "b.) find the equation of the ine 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 continues, then in what year will the percentage of women in the 20-24 age group who have never married reach 100% </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165938 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=165938\">put this solution on YOUR website!</A><BR><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 2000 (Census Bureau, www.census.gov). Let 1970 be year 0 and 2000 be year 30.<BR>\n" );
document.write( "a.)find and interpret the slope of the line through the points (0, 55) and 70, 73).<BR>\n" );
document.write( "slope=(73-55)/(70-0) = 9/35<BR>\n" );
document.write( "intercept = 55<BR>\n" );
document.write( "-----------------------------------<BR>\n" );
document.write( "b.) find the equation of the ine in part (a).<BR>\n" );
document.write( "Percent = (9/35)x + 55\r<BR>\n" );
document.write( "\n" );
document.write( "c.) what is the meaning of the y-intercept?<BR>\n" );
document.write( "In 1970 the percentage was 55<BR>\n" );
document.write( "--------------------------------------<BR>\n" );
document.write( "d.) use the equation to predict the percentage in 2010<BR>\n" );
document.write( "P(40) = (9/35)*40 + 55<BR>\n" );
document.write( "P(40) = 65.29%<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "e.) if this trend continues, then in what year will the percentage of women in the 20-24 age group who have never married reach 100%<BR>\n" );
document.write( "100 = (9/35)x + 55<BR>\n" );
document.write( "45 = (9/35)x<BR>\n" );
document.write( "x = 175 years<BR>\n" );
document.write( "---<BR>\n" );
document.write( "1970+175 = 2145<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );