document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194834>Question 1194834</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Suppose there are 350 million people in the US. If the annual birth rate is 2.3% and the annual death rate is 1.9%, what is the relative annual growth rate (r) of the US Population? \r<BR>\n" );
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document.write( "a) What will the projected US Population be in 2042 based on an exponential growth model (base e)? Give the model and explain what each part represents.\r<BR>\n" );
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document.write( "b) What will the projected US Population be in 2050?\r<BR>\n" );
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document.write( "c) What will the projected US Population be in 2100?\r<BR>\n" );
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document.write( "d) What would happen if birth and death rates were reversed? Clearly explain what type of model this becomes and how the graph changes. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #827221 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=827221\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the annual birth rate is 2.3%.<BR>\n" );
document.write( "the annual death rate is 1.9%.<BR>\n" );
document.write( "the net growth rate per year is (2.3 - 1.9) = .4%.<BR>\n" );
document.write( "the net growth factor per year is 1.004\r<BR>\n" );
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document.write( "the exponential growth model is y = a * b ^ x<BR>\n" );
document.write( "a is the base population = 350<BR>\n" );
document.write( "b is the annual growth factor = 1.004<BR>\n" );
document.write( "x is the number of years.<BR>\n" );
document.write( "the exponential growth formula becomes y = 350 * 1.004 ^ x\r<BR>\n" );
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document.write( "the graph of this equation is shown below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2022/061401.jpg\">\r<BR>\n" );
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document.write( "the excel spreadsheet that supports the logic is shown below:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2022/061402.jpg\">\r<BR>\n" );
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document.write( "check it out.<BR>\n" );
document.write( "see if it makes sense to you.<BR>\n" );
document.write( "let me know if you have any questions.<BR>\n" );
document.write( "theo\r<BR>\n" );
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document.write( " </SPAN>\n" );
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