#DESCRIPTION ## Algebra problem: Natural Exponential Functions ##ENDDESCRIPTION ##KEYWORDS('algebra', 'natural exponential function') ## tsch tagged and PAID on 12-12-2003 ## DBsubject('Algebra') ## DBchapter('Exponential and Logarithmic Functions') ## DBsection('The Natural Exponential Function') ## Date('6/3/2002') ## Author('') ## Institution('') ## TitleText1('College Algebra') ## EditionText1('3') ## AuthorText1('Stewart, Redlin, Watson') ## Section1('6.2') ## Problem1('23') DOCUMENT(); # This should be the first executable line in the problem. loadMacros( "PG.pl", "PGbasicmacros.pl", "PGchoicemacros.pl", "PGanswermacros.pl", "PGauxiliaryFunctions.pl" ); TEXT(beginproblem()); \$showPartialCorrectAnswers = 1; \$p=random(100,1000,5); \$a=random(10,50,5); \$r=\$a/100; BEGIN_TEXT The population of the world in 1987 was 5 billion and the relative growth rate was estimated at 2 percent per year. Assuming that the world population follows an exponential growth model, find the projected world population in 1995. \$BR Your answer is \{ans_rule(20) \} billion \$BR END_TEXT \$ans1 = 5*exp(0.02*(95-87)); ANS(num_cmp(\$ans1)); ENDDOCUMENT(); # This should be the last executable line in the problem.