Answer:
To determine the size of the paramecium population after 3 hours, we can use the concept of exponential growth. Exponential growth occurs when a population grows at a constant rate over time.
In this case, since there are no environmental resistance factors mentioned, we can assume that the paramecium population will experience unlimited growth. The formula to calculate exponential growth is:
N = N0 * e^(r * t)
Where:
- N is the final population size
- N0 is the initial population size
- e is Euler's number, approximately 2.71828
- r is the growth rate
- t is the time in hours
Since the initial population size is 10,000 (N0 = 10000) and we are considering a 3-hour time period (t = 3), we need to determine the growth rate (r).
The growth rate can be calculated by using the following formula:
r = ln(N/N0) / t
Where ln is the natural logarithm function.
Let's calculate the growth rate first:
r = ln(N/N0) / t
r = ln(N/10000) / 3
Now we can plug in the values and calculate the growth rate:
r = ln(N/10000) / 3
Please provide the final population size (N) to proceed with the calculation.
Step-by-step explanation: