(b) Find the number of bacteria after 4 hours. (Round your answer to the nearest whole number.)P(4) = bacteria

To solve the problem, we first need to know the initial number of bacteria and the growth rate (if applicable). However, since this information is missing, I will provide a general method for how you could approach the problem of finding the number of bacteria over time using a common bacterial growth model.

1. ### Break Down the Problem

1. Identify the initial quantity of bacteria, denoted $P_0$.
2. Identify the growth rate of the bacteria, which might be a constant $r$ or could be part of a specific growth model (e.g., exponential growth).
3. Determine the time period for which we need to calculate the number of bacteria, which is 4 hours in this case.

2. ### Relevant Concepts

• If the bacterial growth follows an exponential model, the number of bacteria at time $t$ can be expressed by:

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

  where:

  • $P(t)$ is the number of bacteria at time $t$
  • $P_0$ is the initial number of bacteria
  • $r$ is the rate of growth (per hour)
  • $t$ is the time in hours

3. ### Analysis and Detail

• Substitute the known values into the formula and compute $P(4)$:

  $P(4) = P_0 e^{4r}$

• Without specific values for $P_0$ and $r$, we cannot compute a numerical answer.

4. ### Verify and Summarize

• Make sure the values of $P_0$ and $r$ are provided to perform the calculation accurately.
• Once those values are supplied, plug them into the equation and calculate.

Final Answer

Without the initial values of $P_0$ and $r$, the specific number of bacteria after 4 hours cannot be calculated. Please provide those values for a complete solution.