Question

experiment (S1): ideal environment In the first test, a culture medium for bacteria was generated where the ideal temperature for their reproduction cycle was maintained. This allowed us to accurately predict the quantity of bacteria after having gone through a division process, through an expotential model defined as follows: S1 (x) = 4 * C ^ 0.57x + 3 Where x corresponds to the hours elapsed since the start of the experiment and S1 the number of bacteria at this moment. What was the initial amount of bacteria in the experiment?

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Answer to a math question experiment (S1): ideal environment In the first test, a culture medium for bacteria was generated where the ideal temperature for their reproduction cycle was maintained. This allowed us to accurately predict the quantity of bacteria after having gone through a division process, through an expotential model defined as follows: S1 (x) = 4 * C ^ 0.57x + 3 Where x corresponds to the hours elapsed since the start of the experiment and S1 the number of bacteria at this moment. What was the initial amount of bacteria in the experiment?

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Fred
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118 Answers
1. Evaluamos la función en x = 0 ya que queremos conocer la cantidad inicial de bacterias.

2. Sustituimos x = 0 en la función S1(x) = 4C^{0.57x} + 3, obteniendo S1(0) = 4C^{0.57 \times 0} + 3.

3. Simplificamos el exponente: 0.57 \times 0 = 0 por lo que tenemos 4C^0 + 3.

4. Usamos la propiedad de los exponentes, donde cualquier número a la potencia de 0 es 1: C^0 = 1.

5. Entonces, la ecuación se simplifica a 4 \cdot 1 + 3 = 4 + 3 = 7.

6. Por lo tanto, la cantidad inicial de bacterias es 7.

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