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| 1 : | gage | 5 | #DESCRIPTION |
| 2 : | ## Algebra problem: Natural Exponential Functions | ||
| 3 : | ##ENDDESCRIPTION | ||
| 4 : | |||
| 5 : | ##KEYWORDS('algebra', 'natural exponential function') | ||
| 6 : | ## tsch tagged and PAID on 12-12-2003 | ||
| 7 : | |||
| 8 : | ## DBsubject('Algebra') | ||
| 9 : | ## DBchapter('Exponential and Logarithmic Functions') | ||
| 10 : | ## DBsection('The Natural Exponential Function') | ||
| 11 : | ## Date('6/3/2002') | ||
| 12 : | ## Author('') | ||
| 13 : | ## Institution('') | ||
| 14 : | ## TitleText1('College Algebra') | ||
| 15 : | ## EditionText1('3') | ||
| 16 : | ## AuthorText1('Stewart, Redlin, Watson') | ||
| 17 : | ## Section1('6.2') | ||
| 18 : | ## Problem1('23') | ||
| 19 : | |||
| 20 : | DOCUMENT(); # This should be the first executable line in the problem. | ||
| 21 : | |||
| 22 : | loadMacros( | ||
| 23 : | "PG.pl", | ||
| 24 : | "PGbasicmacros.pl", | ||
| 25 : | "PGchoicemacros.pl", | ||
| 26 : | "PGanswermacros.pl", | ||
| 27 : | "PGauxiliaryFunctions.pl" | ||
| 28 : | ); | ||
| 29 : | |||
| 30 : | TEXT(beginproblem()); | ||
| 31 : | $showPartialCorrectAnswers = 1; | ||
| 32 : | |||
| 33 : | $p=random(100,1000,5); | ||
| 34 : | $a=random(10,50,5); | ||
| 35 : | $r=$a/100; | ||
| 36 : | |||
| 37 : | BEGIN_TEXT | ||
| 38 : | The population of the world in 1987 was 5 billion and the relative | ||
| 39 : | growth rate was estimated at 2 percent per year. Assuming that the world | ||
| 40 : | population follows an exponential growth model, find the projected world | ||
| 41 : | population in 1995. | ||
| 42 : | $BR | ||
| 43 : | Your answer is \{ans_rule(20) \} billion | ||
| 44 : | $BR | ||
| 45 : | END_TEXT | ||
| 46 : | |||
| 47 : | $ans1 = 5*exp(0.02*(95-87)); | ||
| 48 : | |||
| 49 : | ANS(num_cmp($ans1)); | ||
| 50 : | |||
| 51 : | ENDDOCUMENT(); # This should be the last executable line in the problem. |
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