Find the rate of growth after 4 hours. (Round your answer to the nearest whole number.)P'(4) = bacteria per hour

1. ### Break Down the Problem

We need to find the rate of growth of the bacteria after 4 hours, represented by $P'(4)$. This requires us to evaluate the derivative of the bacteria population function $P(t)$ at $t = 4$.

2. ### Relevant Concepts

The rate of growth of a population can be determined by taking the derivative of the population function $P(t)$. Thus: $P'(t) = \text{rate of growth at time}\, t$

3. ### Analysis and Detail

To compute $P'(4)$, we typically need the function $P(t)$. However, since this function isn't provided, I cannot calculate an exact value.

If the function $P(t)$ were available, we would substitute $t = 4$ into $P'(t)$ to find $P'(4)$.

4. ### Verify and Summarize

Since the first step requires knowledge of the function $P(t)$ to find $P'(t)$, this current problem lacks sufficient data to compute the exact growth rate. If provided with the function, I would perform the differentiation and then evaluate it at $t = 4$.

Final Answer

Without knowing the actual function $P(t)$, I'm unable to calculate $P'(4)$ to provide a numerical answer. Please provide the function or more information to proceed.