document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1001106>Question 1001106</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 4. In 2012, the population of Uganda was 36.35 million people and it is growing at a rate of 2.9% per year.<BR>\n" );
document.write( "a. Is this population growth linear or exponential?<BR>\n" );
document.write( "b. Model this situation with an equation P(t).<BR>\n" );
document.write( "c. Use your model to determine what the population of Uganda will be in 2017?<BR>\n" );
document.write( "d. In what year will the population of Uganda be 55 million? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #618366 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=618366\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  In 2012, the population of Uganda was 36.35 million people <BR>\n" );
document.write( "and it is growing at a rate of 2.9% per year.<BR>\n" );
document.write( "a. Is this population growth linear or exponential?<BR>\n" );
document.write( "Ans: exponential<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "b. Model this situation with an equation P(t).<BR>\n" );
document.write( "Ans: P(t) = (36.35 million)*1.029^t<BR>\n" );
document.write( "---------------------------------------------------<BR>\n" );
document.write( "c. Use your model to determine what the population of Uganda will be in 2017?<BR>\n" );
document.write( "P(5) = (36.35 million)*1.029^5 = (41.94 million)<BR>\n" );
document.write( "----------------------------------<BR>\n" );
document.write( "d. In what year will the population of Uganda be 55 million?<BR>\n" );
document.write( "Solve::<BR>\n" );
document.write( "(55 million) = (36.35 million)1.029^t<BR>\n" );
document.write( "----<BR>\n" );
document.write( "1.029^t = 1.5131<BR>\n" );
document.write( "----<BR>\n" );
document.write( "t = log(1.5131)/log(1.029) = 14.49 years<BR>\n" );
document.write( "Ans: 2012 + 14.49 = 2026.49 or \"in the year 2027\".\r<BR>\n" );
document.write( "\n" );
document.write( "------------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "----<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );