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Population Growth Model Evaluation

Medium Functions And Modeling Linear, Quadratic, And Exponential Models

A scientist is studying the population of a bacteria culture over time, which can be modeled using the function $$P(t) = 100e^{0.2t}$$, where $$P(t)$$ is the population at time $$t$$ in hours. Which of the following statements about the population at time $$t = 5$$ hours is TRUE?

The population at $$t = 5$$ hours is approximately $$148.41$$.

The population doubles between $$t = 0$$ and $$t = 5$$ hours.

The population at $$t = 5$$ hours is less than $$150$$.

The population at $$t = 5$$ hours is exactly $$100$$.

Hint

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