document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1161404>Question 1161404</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3.  The table shows the populations (in millions) of five countries in 2000 and the projected populations (in millions) for the year 2015. Let t = 0 correspond to 2000. Find the exponential growth or decay model for each country using Desmos.  <BR>\n" );
document.write( "Use each model to predict the population of each country in 2030.  To determine the regression equation, type the data in the table for a country in the first entry line (t = 0 corresponds to the year 2000); then, in the second entry line, type the equation y1 aebx1.<BR>\n" );
document.write( "Country<BR>\n" );
document.write( "2000<BR>\n" );
document.write( "2015<BR>\n" );
document.write( "Find the Exponential Growth or Decay Model<BR>\n" );
document.write( "Find the Population in 2030<BR>\n" );
document.write( "Bulgaria<BR>\n" );
document.write( "2000 = 7.8<BR>\n" );
document.write( "2015 = 6.9\r<BR>\n" );
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document.write( "Canada<BR>\n" );
document.write( "2002 = 31.1<BR>\n" );
document.write( "2015 = 35.1\r<BR>\n" );
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document.write( "China<BR>\n" );
document.write( "2000 = 1268.9<BR>\n" );
document.write( "2015 = 1393.4\r<BR>\n" );
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document.write( "United Kingdom<BR>\n" );
document.write( "2000 = 59.5<BR>\n" );
document.write( "2015 = 62.2\r<BR>\n" );
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document.write( "United States<BR>\n" );
document.write( "2000 = 282.2<BR>\n" );
document.write( "2015 = 325.5\r<BR>\n" );
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document.write( "It is evident that the populations of the United States and the United Kingdom are growing at different rates. What constant in the equation y = aebt is determined by these different growth rates? Discuss the relationship between the different growth rates and the magnitude of the constant.<BR>\n" );
document.write( "Answer: \r<BR>\n" );
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document.write( "While the population of China is increasing, the population of Bulgaria is decreasing. What constant in the equation y = aebt reflects this difference? Explain.<BR>\n" );
document.write( "Answer: \r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #786133 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=786133\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a\"> establishes the initial condition, i.e. the population at time zero.  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large b\"> is the growth or decay rate.  If <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large b\ >\ 0\">, it is a growth rate, if <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large b\ <\ 0\"> it is a decay rate.<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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