document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=178179>Question 178179</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I replaced the numbers in this equation so I can solve my own numbers. Could someone please help me.<BR>\n" );
document.write( "The medium age of first marriage is 24.5 years in 1995 to 25.1 years in 2000. Let 1995 be year 5 and 2000 be year 10.<BR>\n" );
document.write( "a) Find the equation of the line through (5,24.5)and (10, 25.1).<BR>\n" );
document.write( "b) What do x and y represent in your equation?<BR>\n" );
document.write( "c) Interpret the slope of this line.<BR>\n" );
document.write( "d) In what year will the medium age be 30?<BR>\n" );
document.write( "I want to compare what I have in my problem so please show work. Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #133138 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=133138\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The medium age of first marriage is 24.5 years in 1995 to 25.1 years in 2000. Let 1995 be year 5 and 2000 be year 10.<BR>\n" );
document.write( "a) Find the equation of the line through (5,24.5)and (10, 25.1).<BR>\n" );
document.write( "slope = (24.5 - 24.1) / (5 - 10) = 0.4/(-5) = -0.08<BR>\n" );
document.write( "--------------<BR>\n" );
document.write( "intercept: 25.1 = (-0.08)*10 + b<BR>\n" );
document.write( "25.1 = -0.8 + b<BR>\n" );
document.write( "b = 25.9<BR>\n" );
document.write( "---<BR>\n" );
document.write( "Equation: y = -0.08x + 25.9<BR>\n" );
document.write( "------------------------------------\r<BR>\n" );
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document.write( "b) What do x and y represent in your equation?<BR>\n" );
document.write( "x is # of years after 1990<BR>\n" );
document.write( "y is median age of first marriage<BR>\n" );
document.write( "------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "c) Interpret the slope of this line.<BR>\n" );
document.write( "As the number of years after 1990 increases by one the median<BR>\n" );
document.write( "age of 1st marriage decreases by 0.08<BR>\n" );
document.write( "------------------------------------\r<BR>\n" );
document.write( "\n" );
document.write( "d) In what year will the medium age be 30? <BR>\n" );
document.write( "30 = -0.08x + 25.9<BR>\n" );
document.write( "-0.08x = 4.1<BR>\n" );
document.write( "x = -51.25<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Year = 1990 -51.25 = 1938.75 or year 1939<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" );