Answer :
Certainly! Let's go through each of the questions step by step based on the given data and the results provided.
### 3.1.1 Relationship between number of households and Sclerocarya birrea population
By examining the data from 2019 to 2023, we observe the following trend:
- In 2019, the number of households was 1000, and the Sclerocarya birrea population was 221.
- In 2020, the number of households increased to 1200, and the population decreased to 210.
- In 2021, the number of households increased significantly to 2100, and the population decreased to 100.
- In 2022, the number of households further increased to 2200, and the population decreased to 80.
- In 2023, the number of households slightly increased to 2250, and the population decreased to 20.
From this pattern, we can infer that as the number of households increased, the population of Sclerocarya birrea decreased. Therefore, the relationship is:
"As the number of households increases, the population of Sclerocarya birrea decreases."
### 3.1.2 Year with the largest decrease in Sclerocarya birrea population
We need to identify the year with the largest decrease in the Sclerocarya birrea population by comparing year-to-year changes:
- From 2019 to 2020: 221 - 210 = 11
- From 2020 to 2021: 210 - 100 = 110
- From 2021 to 2022: 100 - 80 = 20
- From 2022 to 2023: 80 - 20 = 60
The largest decrease occurred between 2020 and 2021, with a reduction of 110 trees. Therefore, the year with the largest decrease in Sclerocarya birrea population is 2020.
### 3.1.3 Percentage decrease in number of Sclerocarya birrea during the period of study
To calculate the percentage decrease from 2019 to 2023, we use the following formula:
[tex]\[ \text{Percentage Decrease} = \left( \frac{\text{Starting Population} - \text{Ending Population}}{\text{Starting Population}} \right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage Decrease} = \left( \frac{221 - 20}{221} \right) \times 100 \approx 90.95 \][/tex]
So, the percentage decrease in the number of Sclerocarya birrea during the period of study is approximately 90.95%.
### 3.1.4 Total amount of carbon dioxide absorbed by Sclerocarya birrea trees in 2019
Assuming one Sclerocarya birrea tree absorbs 48 pounds of CO2 per year:
[tex]\[ \text{Total CO2 Absorbed in 2019} = \text{Number of Trees} \times \text{CO2 Absorption per Tree} \][/tex]
Substituting the values:
[tex]\[ \text{Total CO2 Absorbed in 2019} = 221 \times 48 = 10608 \, \text{pounds} \][/tex]
Therefore, the total amount of carbon dioxide absorbed by Sclerocarya birrea trees in 2019 is 10608 pounds.
### 3.1.5 Total estimated amount of carbon dioxide that will accumulate in the atmosphere in 2020 due to the decrease in number of trees from 2019 to 2020
First, we need to find the decrease in the number of trees between 2019 and 2020:
[tex]\[ \text{Decrease in Number of Trees} = 221 - 210 = 11 \][/tex]
Then, we calculate the corresponding amount of CO2 that these 11 trees would have absorbed:
[tex]\[ \text{CO2 Not Absorbed in 2020} = \text{Decrease in Number of Trees} \times \text{CO2 Absorption per Tree} \][/tex]
Substituting the values:
[tex]\[ \text{CO2 Not Absorbed in 2020} = 11 \times 48 = 528 \, \text{pounds} \][/tex]
Therefore, the total estimated amount of carbon dioxide that will accumulate in the atmosphere in 2020 because of the decrease in the number of trees between 2019 and 2020 is 528 pounds.
I hope this detailed explanation helps you understand each step! If you have any more questions, feel free to ask.
### 3.1.1 Relationship between number of households and Sclerocarya birrea population
By examining the data from 2019 to 2023, we observe the following trend:
- In 2019, the number of households was 1000, and the Sclerocarya birrea population was 221.
- In 2020, the number of households increased to 1200, and the population decreased to 210.
- In 2021, the number of households increased significantly to 2100, and the population decreased to 100.
- In 2022, the number of households further increased to 2200, and the population decreased to 80.
- In 2023, the number of households slightly increased to 2250, and the population decreased to 20.
From this pattern, we can infer that as the number of households increased, the population of Sclerocarya birrea decreased. Therefore, the relationship is:
"As the number of households increases, the population of Sclerocarya birrea decreases."
### 3.1.2 Year with the largest decrease in Sclerocarya birrea population
We need to identify the year with the largest decrease in the Sclerocarya birrea population by comparing year-to-year changes:
- From 2019 to 2020: 221 - 210 = 11
- From 2020 to 2021: 210 - 100 = 110
- From 2021 to 2022: 100 - 80 = 20
- From 2022 to 2023: 80 - 20 = 60
The largest decrease occurred between 2020 and 2021, with a reduction of 110 trees. Therefore, the year with the largest decrease in Sclerocarya birrea population is 2020.
### 3.1.3 Percentage decrease in number of Sclerocarya birrea during the period of study
To calculate the percentage decrease from 2019 to 2023, we use the following formula:
[tex]\[ \text{Percentage Decrease} = \left( \frac{\text{Starting Population} - \text{Ending Population}}{\text{Starting Population}} \right) \times 100 \][/tex]
Substituting the values:
[tex]\[ \text{Percentage Decrease} = \left( \frac{221 - 20}{221} \right) \times 100 \approx 90.95 \][/tex]
So, the percentage decrease in the number of Sclerocarya birrea during the period of study is approximately 90.95%.
### 3.1.4 Total amount of carbon dioxide absorbed by Sclerocarya birrea trees in 2019
Assuming one Sclerocarya birrea tree absorbs 48 pounds of CO2 per year:
[tex]\[ \text{Total CO2 Absorbed in 2019} = \text{Number of Trees} \times \text{CO2 Absorption per Tree} \][/tex]
Substituting the values:
[tex]\[ \text{Total CO2 Absorbed in 2019} = 221 \times 48 = 10608 \, \text{pounds} \][/tex]
Therefore, the total amount of carbon dioxide absorbed by Sclerocarya birrea trees in 2019 is 10608 pounds.
### 3.1.5 Total estimated amount of carbon dioxide that will accumulate in the atmosphere in 2020 due to the decrease in number of trees from 2019 to 2020
First, we need to find the decrease in the number of trees between 2019 and 2020:
[tex]\[ \text{Decrease in Number of Trees} = 221 - 210 = 11 \][/tex]
Then, we calculate the corresponding amount of CO2 that these 11 trees would have absorbed:
[tex]\[ \text{CO2 Not Absorbed in 2020} = \text{Decrease in Number of Trees} \times \text{CO2 Absorption per Tree} \][/tex]
Substituting the values:
[tex]\[ \text{CO2 Not Absorbed in 2020} = 11 \times 48 = 528 \, \text{pounds} \][/tex]
Therefore, the total estimated amount of carbon dioxide that will accumulate in the atmosphere in 2020 because of the decrease in the number of trees between 2019 and 2020 is 528 pounds.
I hope this detailed explanation helps you understand each step! If you have any more questions, feel free to ask.
