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Dr. John is a botanist , he is experimen...

Dr. John is a botanist , he is experimenting with exotic species of rose plant Rose polyantha . He started with 40 plants, after a year 22 more plants were added thought reproduction but also 14 plants died during the experimentation .
Which of the following statements are correct ?
1. The death rate is 0.35% per year
2. The birth rate is 0.55 % per rose per year
3. The birth rate is 0.55 % per year
4. The death rate is 0.35 % per rose per year

A

1 and 2

B

2 and 4

C

3 and 4

D

1 and 3

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to calculate the death rate and birth rate of the rose plants based on the information provided. ### Step 1: Determine the initial number of plants Dr. John started with 40 rose plants. ### Step 2: Calculate the number of plants added through reproduction After a year, 22 more plants were added through reproduction. ### Step 3: Calculate the number of plants that died During the experimentation, 14 plants died. ### Step 4: Calculate the total number of plants after one year Total plants after one year = Initial plants + Plants added - Plants died Total plants = 40 + 22 - 14 = 48 plants ### Step 5: Calculate the death rate The death rate is calculated as: \[ \text{Death Rate} = \frac{\text{Number of plants died}}{\text{Initial number of plants}} \times 100 \] Substituting the values: \[ \text{Death Rate} = \frac{14}{40} \times 100 = 35\% \] To express this as a percentage per year: \[ \text{Death Rate} = 0.35\% \] ### Step 6: Calculate the birth rate The birth rate is calculated as: \[ \text{Birth Rate} = \frac{\text{Number of plants added}}{\text{Initial number of plants}} \times 100 \] Substituting the values: \[ \text{Birth Rate} = \frac{22}{40} \times 100 = 55\% \] To express this as a percentage per year: \[ \text{Birth Rate} = 0.55\% \] ### Conclusion Now, we can evaluate the statements: 1. The death rate is 0.35% per year. **(Correct)** 2. The birth rate is 0.55% per rose per year. **(Incorrect)** 3. The birth rate is 0.55% per year. **(Correct)** 4. The death rate is 0.35% per rose per year. **(Incorrect)** Thus, the correct statements are 1 and 3. ### Final Answer The correct statements are: **1 and 3.** ---
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