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) 67 bacteria per minute
B) 55 bacteria per minute
C) 72 bacteria per minute
D) 47 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) 67 bacteria per minute 
B) 55 bacteria per minute 
C) 72 bacteria per minute 
D) 47 bacteria per minute

Quizplus · Accepted Answer

Taking the derivative of the population function with respect to time t gives us the rate of population growth:

dP/dt = 65e^(0.02t)

To find the rate of population growth at t = 25 minutes, we substitute t = 25 into the derivative:

dP/dt = 65e^(0.02(25)) = 54.95

We round this to 55 bacteria per minute. Therefore, the best choice is B.

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