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Vous devrez interroger ces situations de façon pertinente et produire un dossier apportant les réponses à ces questions. + \begin{enumerate} + \item Une entreprise propose à ses employés deux primes étalées sur 3ans. + \begin{itemize} + \item Prime 1: 100\euro le premier mois puis la prime augmente de 2\euro par mois. + \item Prime 2: 90\euro le premier mois puis la prime augmente de 2,5\% par mois. + \end{itemize} + \item Le gouvernement annonce investir 2miliard d'euros dans la santé sur 10 ans. Il envisage deux modèles + \begin{itemize} + \item Modèle 1: 100 millions d'euro d'investissement la première année puis l'investissement augmente de 30 millions d'euros par ans. + \item Modèle 2: 50 millions d'euro d'investissement la première année puis l'investissement augmente de 30\% par ans. + \end{itemize} + \item Un accord contraint les usines a ne pas pouvoir rejeter plus de 10 milions de tonnes de produits chimique dans un fleuve sur 3ans. Voici deux plans de réduction des rejets: + \begin{itemize} + \item Usine 1: \np{400 000} tonnes de rejets par mois puis une diminution de ces rejets de \np{2000} tonnes par mois. + \item Usine 1: \np{500 000} tonnes de rejets par mois puis une diminution de ces rejets de 4\% par mois. + \end{itemize} + \item Une entreprise de technologie propose deux services qui sont amenés à évoluer différemment. Elle cherche à prévoir la capacité de stockage pour l'année. + \begin{itemize} + \item Service 1: dépôt de 200To en janvier puis une hausse de 15To par mois. + \item Service 2: dépôt de 50To en janvier puis une hausse de 35\% par mois. + \end{itemize} + \item On compare la population de deux villes sur 10 ans qui est initialement de \np{20 000} habitants. Seul l'évolution démographique est différente. + \begin{itemize} + \item Ville 1: 150 naissances la première année puis une augmentation de 20 naissances tous les ans. + \item Ville 2: 100 naissances la première année puis une augmentation de 15\% tous les ans. + \end{itemize} + \end{enumerate} + \paragraph{Barème} + \begin{itemize} + \item (raisonner) Pertinence des questions posées \dotfill 2pt + \item (communiquer) Clarté des explications \dotfill 2pt + \item (modélisation) Choix des outils mathématiques utilisés\dotfill 2pt + \item (représenter) Schémas pour illustrer \dotfill 2pt + \item (raisonner) Rigueur des explications apportés \dotfill 2pt + \item (calculs) Justesse des calculs \dotfill 2pt + \item (représenter) Graphiques des évolutions \dotfill 2pt + \item (communiquer) Description des évolutions \dotfill 2pt + \end{itemize} \end{exercise} -\begin{solution} - <++> -\end{solution} - -\collectexercisesstop{banque} \ No newline at end of file +\collectexercisesstop{banque}