document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1137502>Question 1137502</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For each year t, the population of a forest of trees is represented by the function A(t)= 115(1.025)^t. In a neighboring forest, the population of the same type of tree is represented by the function B(t)=82(1.029)^t. Assuming the population growth models continue to represent the growth of the forests, which forest will have a greater number of trees after 100 years? By how many?  </SPAN>\n" );
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document.write( "You will need a calculator for this as doing so by hand is very tedious. If you don't have a calculator, then here is a <a  rel=nofollow HREF=\"https://www.desmos.com/scientific\">free calculator</a> you can use. Feel free to do an online search for any other calculator you prefer better. \r<BR>\n" );
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document.write( "Plug t = 100 into A(t)<BR>\n" );
document.write( "A(t) = 115*(1.025)^t<BR>\n" );
document.write( "A(100) = 115*(1.025)^100<BR>\n" );
document.write( "A(100) = 1358.57738<BR>\n" );
document.write( "A(100) = 1359<BR>\n" );
document.write( "There are roughly 1359 trees in forest A after one hundred years.\r<BR>\n" );
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document.write( "Repeat for B(t) as well<BR>\n" );
document.write( "B(t) = 82(1.029)^t<BR>\n" );
document.write( "B(100) = 82(1.029)^100<BR>\n" );
document.write( "B(100) = 1430.05035<BR>\n" );
document.write( "B(100) = 1430<BR>\n" );
document.write( "There are roughly 1430 trees in forest B after one hundred years.\r<BR>\n" );
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document.write( "We see that forest B has more trees after one hundred years.\r<BR>\n" );
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document.write( "The difference is 1430 - 1359 = 71 trees, meaning that forest B has 71 more trees compared to forest A after one hundred years.<BR>\n" );
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