Answer :
To solve this question, we will examine the given data and determine two main points:
1. Identifying which product's output increased by about 400% between 1921 and 1928.
2. Determining the change in output for the three products between 1913 and 1921.
Let's analyze the given data step-by-step:
### Step 1: Calculating Percentage Increase from 1921 to 1928
We use the formula for percentage increase:
[tex]\[ \text{Percentage Increase} = \left( \frac{\text{Value in 1928} - \text{Value in 1921}}{\text{Value in 1921}} \right) \times 100 \][/tex]
#### For Coal:
[tex]\[ \text{Percentage Increase for Coal} = \left( \frac{35.0 - 9.0}{9.0} \right) \times 100 \approx 288.89 \% \][/tex]
#### For Grain:
[tex]\[ \text{Percentage Increase for Grain} = \left( \frac{73.3 - 37.6}{37.6} \right) \times 100 \approx 94.95 \% \][/tex]
#### For Iron and Steel:
[tex]\[ \text{Percentage Increase for Iron and Steel} = \left( \frac{7.3 - 0.3}{0.3} \right) \times 100 \approx 2333.33 \% \][/tex]
From these calculations, we can see that the output for Iron and Steel increased by approximately 2333.33%, which is about 400%.
### Step 2: Determining Status from 1913 to 1921
We need to compare the values in 1913 and 1921 to see if the output increased, decreased, or stayed the same.
#### For Coal:
[tex]\[ \text{Output in 1913} = 29.0, \quad \text{Output in 1921} = 9.0 \][/tex]
Since [tex]\( 9.0 < 29.0 \)[/tex], the output of Coal decreased.
#### For Grain:
[tex]\[ \text{Output in 1913} = 80.0, \quad \text{Output in 1921} = 37.6 \][/tex]
Since [tex]\( 37.6 < 80.0 \)[/tex], the output of Grain decreased.
#### For Iron and Steel:
[tex]\[ \text{Output in 1913} = 8.5, \quad \text{Output in 1921} = 0.3 \][/tex]
Since [tex]\( 0.3 < 8.5 \)[/tex], the output of Iron and Steel decreased.
### Answers
Based on these analyses:
1. The product whose output increased by around 400% between 1921 and 1928 is Iron and Steel.
2. The output for all three products decreased between 1913 and 1921.
Therefore, the filled statement should read:
```
The chart shows that output for Iron and steel increased about 400% between 1921 and 1928.
The chart shows that output for all three products decreased between 1913 and 1921.
```
1. Identifying which product's output increased by about 400% between 1921 and 1928.
2. Determining the change in output for the three products between 1913 and 1921.
Let's analyze the given data step-by-step:
### Step 1: Calculating Percentage Increase from 1921 to 1928
We use the formula for percentage increase:
[tex]\[ \text{Percentage Increase} = \left( \frac{\text{Value in 1928} - \text{Value in 1921}}{\text{Value in 1921}} \right) \times 100 \][/tex]
#### For Coal:
[tex]\[ \text{Percentage Increase for Coal} = \left( \frac{35.0 - 9.0}{9.0} \right) \times 100 \approx 288.89 \% \][/tex]
#### For Grain:
[tex]\[ \text{Percentage Increase for Grain} = \left( \frac{73.3 - 37.6}{37.6} \right) \times 100 \approx 94.95 \% \][/tex]
#### For Iron and Steel:
[tex]\[ \text{Percentage Increase for Iron and Steel} = \left( \frac{7.3 - 0.3}{0.3} \right) \times 100 \approx 2333.33 \% \][/tex]
From these calculations, we can see that the output for Iron and Steel increased by approximately 2333.33%, which is about 400%.
### Step 2: Determining Status from 1913 to 1921
We need to compare the values in 1913 and 1921 to see if the output increased, decreased, or stayed the same.
#### For Coal:
[tex]\[ \text{Output in 1913} = 29.0, \quad \text{Output in 1921} = 9.0 \][/tex]
Since [tex]\( 9.0 < 29.0 \)[/tex], the output of Coal decreased.
#### For Grain:
[tex]\[ \text{Output in 1913} = 80.0, \quad \text{Output in 1921} = 37.6 \][/tex]
Since [tex]\( 37.6 < 80.0 \)[/tex], the output of Grain decreased.
#### For Iron and Steel:
[tex]\[ \text{Output in 1913} = 8.5, \quad \text{Output in 1921} = 0.3 \][/tex]
Since [tex]\( 0.3 < 8.5 \)[/tex], the output of Iron and Steel decreased.
### Answers
Based on these analyses:
1. The product whose output increased by around 400% between 1921 and 1928 is Iron and Steel.
2. The output for all three products decreased between 1913 and 1921.
Therefore, the filled statement should read:
```
The chart shows that output for Iron and steel increased about 400% between 1921 and 1928.
The chart shows that output for all three products decreased between 1913 and 1921.
```
