Answer: P'(50) = -200 means that the derivative of P(t) with respect to t, evaluated at t = 50, is equal to -200. The derivative of a function represents the rate of change of the function. In this case, P'(50) = -200 represents the rate of change of the number of individuals infected by the disease 50 days after it was first detected.
Since P'(50) = -200, this means that the number of individuals infected by the disease is decreasing at a rate of 200 individuals per day when t = 50. In other words, 200 individuals are recovering or being treated each day, so the total number of infected individuals is decreasing.
Explanation: