document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=91167>Question 91167</A>: <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 the 1970 to 73% in 2000 (Census Bureau, www.census.gov) Let 1970 be year 0 and 200 be year 30.<BR>\n" );
document.write( "a.) Find the interpret the slope of the line through the 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 percentages 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 #66180 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=66180\">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 the 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 the interpret the slope of the line through the points (0,55) and (30,73).<BR>\n" );
document.write( "slope = [73-55]/[30-0] = 18/30 = 9/15<BR>\n" );
document.write( "slopw means \"for each 15 years gone by the percent of women in the designated<BR>\n" );
document.write( "group who have never married increased 9%\"<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "b.) Find the equation of the line in part (a).<BR>\n" );
document.write( "m= (9/15) and y = 55 when x= 0<BR>\n" );
document.write( "EQUATION: y = (9/15)x+55<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "c.) What is the meaning of the y-intercept?<BR>\n" );
document.write( "y-intercept occurs when x = 0 means that 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( "In 2010 x= 2010-1970 = 40<BR>\n" );
document.write( "Let x=40 and solve for y:<BR>\n" );
document.write( "y = (9/15)40+55 = 24+55 =79%<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "e.) If this trend continues, then in what year will the percentages of women in the 20-24 age group who have never married reach 100%?<BR>\n" );
document.write( "Let y= 100 and solve for x:<BR>\n" );
document.write( "100 = (9/15)x+55<BR>\n" );
document.write( "45 = (9/15)x<BR>\n" );
document.write( "x = 75<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" );