A bacterial culture grows at a rate proportional to its size, and it doubles every $7$ hours. Which of the following is a model for the population $P(t)$, where $t$ is measured in hours and $P_0$ is the initial population?

Question

Accepted Answer

A. $P(t) = P_0 e^{(\ln 2)t/7}$

Answer

$P(t) = P_0 e^{(\ln 2)t/7}$

Answer

$P(t) = P_0 e^{7t}$

Answer

$P(t) = P_0 e^{t/7}$

Answer

$P(t) = P_0 (2)^{7t}$

A bacterial culture grows at a rate proportional to its size, and it doubles every $7$ hours. Which of the following is a model for the population $P(t)$ , where $t$ is measured in hours and $P_0$ is the initial population?

Explanation

Core Concept

Correct Answer

More Unit 7: Differential Equations practice questions

A bacterial culture grows at a rate proportional to its size, and it doubles every 777 hours. Which of the following is a model for the population P(t)P(t)P(t), where ttt is measured in hours and P0P_0P0​ is the initial population?

Explanation

Core Concept

Correct Answer

More Unit 7: Differential Equations practice questions

A bacterial culture grows at a rate proportional to its size, and it doubles every $7$ hours. Which of the following is a model for the population $P(t)$ , where $t$ is measured in hours and $P_0$ is the initial population?