Under a set of controlled laboratory conditions, the size of the population of a certain bacteria culture at time t (in minutes) is described by the function Find the rate of population growth at min.
A) 148 bacteria per minute
B) 113 bacteria per minute
C) 125 bacteria per minute
D) 120 bacteria per minute

Question

Under a set of controlled laboratory conditions, the size of the population of a certain bacteria culture at time t (in minutes) is described by the function  Find the rate of population growth at  min.
A) 148 bacteria per minute 
B) 113 bacteria per minute 
C) 125 bacteria per minute 
D) 120 bacteria per minute

Quizplus · Accepted Answer

To find the rate of population growth at t = 11, we need to find the derivative of the population function with respect to time:

dP/dt = 30*(1.02)^t * ln(1.02)

Now we can substitute t = 11 to get the rate of population growth at t = 11:

dP/dt = 30*(1.02)^11 * ln(1.02) ≈ 125 bacteria per minute.

Therefore, the best choice is C.

Under a Set of Controlled Laboratory Conditions, the Size of the Population