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A certain type of bacteria kept at 5°C changes according to the model P(t) = 250e^(-0.295t), where t is the time in hours.

User Jzafrilla
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Final answer:

The model P(t) = 250e^(-0.295t) represents the population of bacteria at 5°C over time. It shows exponential decay, where the population decreases over time but never reaches zero.

Step-by-step explanation:

The subject of the question is Biology. The given model, P(t) = 250e^(-0.295t), represents the population of a certain type of bacteria kept at 5°C over time. In this model, P(t) represents the population size at time t in hours.

To understand how the population changes over time, we can substitute different values for t into the equation. For example, if we substitute t = 1 into the equation, we can find the population size at 1 hour: P(1) = 250e^(-0.295 * 1). By evaluating this expression, we can determine the population at different time points.

It's important to note that this model assumes exponential decay, as indicated by the negative exponent in the equation. Exponential decay means that the population decreases over time, approaching zero but never reaching it.

User Majid Zareei
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