If a bacteria population P grows at a rate proportional to its size, the differential equation governing it is:
If a bacteria population P grows at a rate proportional to its size, the differential equation governing it is:
- A. dP/dt = kt
- B. dP/dt = kP
- C. dP/dt = k/P
- D. dP/dt = kP²
Answer: B) dP/dt = kP
Explanation: The phrase 'rate proportional to its size' means the derivative of P with respect to time (dP/dt) is directly proportional to P. Thus, dP/dt = kP.
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