How many hours after the start will the instantaneous growth rate of the population be 200 cells per hour?
A population of bacteria is initially 1100 cells. After 2 hours, the population has increased to 1200 cells. Assume that the population is an exponential function of time.
How many hours after the start will the instantaneous growth rate of the population be 200 cells per hour?
A population of bacteria is initially 1100 cells. After 2 hours, the population has increased to 1200 cells. Assume that the population is an exponential function of time.
How many hours after the start will the instantaneous growth rate of the population be 200 cells per hour?
1 Answer
Explanation:
We need to find a function of the form:
First find
Initial amount is
solving for
So we now have:
For population to be 200 cells per hour:
Solve for
Check: