document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1100412>Question 1100412</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone explain me how to do this. Thank you.\r<BR>\n" );
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document.write( "A national census bureau predicts that a certain population will increase from 34.8 million in 2000 to 56.6 million in 2050.<BR>\n" );
document.write( "a) Find exponential function for f(t)=yob^t which t=0 correspond to 2000 and f(t) is in millions. <BR>\n" );
document.write( "b) what is the projected population in 2030? 2040?<BR>\n" );
document.write( "c) By experimenting with different value of t, estimate the year in which population will reach 54 millions?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #714893 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=714893\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> yo=34.8<BR>\n" );
document.write( "f(t)=56.6=34.8*b^50<BR>\n" );
document.write( "divide by 34.8 both sides<BR>\n" );
document.write( "1.626=b^50<BR>\n" );
document.write( "without rounding, ln of both sides<BR>\n" );
document.write( "0.486=50 ln b<BR>\n" );
document.write( "divide by 50 both sides<BR>\n" );
document.write( "0.0097=ln b<BR>\n" );
document.write( "now raise everything to the e power.<BR>\n" );
document.write( "b=1.0098<BR>\n" );
document.write( "In 2030, t=30<BR>\n" );
document.write( "population is 46.6 million<BR>\n" );
document.write( "In 2040, t=40<BR>\n" );
document.write( "population is 51.40 million.<BR>\n" );
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