French Johnson
12/02/2023 · Senior High School
La población de bacterias en un cultivo crece a una razón proporcional a la cantidad de bacterias presentes al tiempo \( t \) (en horas), sigulendo la función modelo: \[ P(t)=P_{0} \cdot e^{k t} \] Después de tres horas se observa que háy 400 bacterias presentes. Después de 10 horas hay 2000 bacterias presentes ¿Cuál era la cantidad inicial de bacterias? Hallar las constantes \( P_{0}, k y \) responder la pregunta
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La cantidad inicial de bacterias es \( P_{0} = 80\sqrt[7]{625} \) y la constante \( k \) es \( \frac{\ln(5)}{7} \).
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