Exponential Growth Model Analysis

Question

A population of bacteria doubles every 3 hours. Let $$P(t)$$ be the population at time $$t$$ in hours. Consider the following statements: I. If $$P(3) = 800$$, the initial population $$P(0)$$ is 400. II. Based on the model $$P(t) = 400 cdot 2^{t/3}$$, the population at $$t=9$$ hours is 3200. III. The function $$P(t) = 400 cdot 2^{t/3}$$ correctly models a population with an initial size of 400 that doubles every 3 hours. Which of the statements are true?

Accepted Answer

Only Statements I and III are true.

Answer

Only Statements I and II are true.

Answer

Only Statement III is true.

Answer

All three statements are true.

Exponential Growth Model Analysis

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