If a population of 50 Paramecium present in a pool increases to 150 after an hour, what would be the growth rate of population ?

Options

A. 5 per hour
B. 50 per hour
C. 200 per hour
D. 100 per hour

Answer

To calculate the growth rate of the Paramecium population, we can follow these steps:

### Step 1: Identify Initial and Final Population
- The initial population (P_i) is given as 50 Paramecium.
- The final population (P_f) after one hour is given as 150 Paramecium.

### Step 2: Calculate the Change in Population
- The change in population (ΔP) can be calculated using the formula:
\[ ΔP = P_f - P_i \]
- Substituting the values:
\[ ΔP = 150 - 50 = 100 \]

### Step 3: Identify the Time Period
- The time period (Δt) over which this change occurs is given as 1 hour.

### Step 4: Calculate the Growth Rate
- The growth rate (R) can be calculated using the formula:
\[ R = \frac{ΔP}{Δt} \]
- Substituting the values:
\[ R = \frac{100}{1} = 100 \text{ Paramecium per hour} \]

### Conclusion
- The growth rate of the Paramecium population is 100 Paramecium per hour.