document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=154153>Question 154153</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Single women. The percentage of women in the 20–24 age<BR>\n" );
document.write( "group who have never married went from 55% in 1970 to<BR>\n" );
document.write( "73% in 2000 (Census Bureau, www.census.gov). Let 1970<BR>\n" );
document.write( "be year 0 and 2000 be year 30.<BR>\n" );
document.write( "a) Find and interpret the slope of the line through the<BR>\n" );
document.write( "points (0, 55) 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 continues, then in what year will the<BR>\n" );
document.write( "percentage of women in the 20–24 age group who have<BR>\n" );
document.write( "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 #113456 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=113456\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Single women. The percentage of women in the 20–24 age<BR>\n" );
document.write( "group who have never married went from 55% in 1970 to<BR>\n" );
document.write( "73% in 2000 (Census Bureau, www.census.gov). <BR>\n" );
document.write( "Let 1970 be year 0 and 2000 be year 30.<BR>\n" );
document.write( "----------------------<BR>\n" );
document.write( "a) Find and interpret the slope of the line through the<BR>\n" );
document.write( "points (0, 55) and (30, 73).<BR>\n" );
document.write( "slope = (73-55)/(30-0) = 0.6<BR>\n" );
document.write( "Interpretation: Percentage of women in the 20-24 age group <BR>\n" );
document.write( "who have never married increases by 0.6% each year after 1970.<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "b) Find the equation of the line in part (a).<BR>\n" );
document.write( "Percent(at year x) = 0.6x + 55 for x >= 1970<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "c) What is the meaning of the y-intercept?<BR>\n" );
document.write( "In 1970 the percent 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) = 0.6*40 + 55 = 55+24 = 79%<BR>\n" );
document.write( "---------------------------------------------<BR>\n" );
document.write( "e) If this trend continues, then in what year will the<BR>\n" );
document.write( "percentage of women in the 20–24 age group who have<BR>\n" );
document.write( "never married reach 100%?<BR>\n" );
document.write( "100 = 0.6x + 55<BR>\n" );
document.write( "0.6x = 45<BR>\n" );
document.write( "x = 75 years after 1970<BR>\n" );
document.write( "1970 + 75 = 2045<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" );