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

The growth rate of the population is given by taking the derivative of the given function with respect to t:

dP/dt = 11e^(0.4t) * (0.4)

At t = 11, we have:

dP/dt = 11e^(0.4*11) * (0.4) = 125.16

Rounding to the nearest whole number, the rate of population growth at t=11 minutes is 125 bacteria per minute, which corresponds to answer choice C.

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