Let's analyze the relationship between the number of active military personnel and employed workers from the given data over the years 1916 to 1919.
### Given Data:
- Active Military Personnel (in millions)
- 1916: 0.18
- 1917: 0.84
- 1918: 2.97
- 1919: 1.27
- Total Number of Employed Workers (in millions)
- 1916: 40.1
- 1917: 41.5
- 1918: 44.0
- 1919: 42.3
### Calculate the yearly changes (deltas):
1. Change from 1916 to 1917:
- Active Military: [tex]\( 0.84 - 0.18 = 0.66 \)[/tex]
- Employed Workers: [tex]\( 41.5 - 40.1 = 1.4 \)[/tex]
2. Change from 1917 to 1918:
- Active Military: [tex]\( 2.97 - 0.84 = 2.13 \)[/tex]
- Employed Workers: [tex]\( 44.0 - 41.5 = 2.5 \)[/tex]
3. Change from 1918 to 1919:
- Active Military: [tex]\( 1.27 - 2.97 = -1.70 \)[/tex]
- Employed Workers: [tex]\( 42.3 - 44.0 = -1.70 \)[/tex]
### Observations and Relationship Analysis:
1. From 1916 to 1917:
- Active Military increased by 0.66 million.
- Employed Workers increased by 1.4 million.
- Observation: Both the number of active military and employed workers increased.
2. From 1917 to 1918:
- Active Military increased by 2.13 million.
- Employed Workers increased by 2.5 million.
- Observation: Both the number of active military and employed workers increased significantly.
3. From 1918 to 1919:
- Active Military decreased by 1.70 million.
- Employed Workers decreased by 1.70 million.
- Observation: Both the number of active military and employed workers decreased.
### Conclusions:
Based on these observations, the most accurate statement describing the relationship shown in the chart is:
- The number of active military and employed workers jumped at the same time.
This conclusion is supported by the observations that in both transitions from 1916 to 1917 and from 1917 to 1918, the numbers for both active military and employed workers increased simultaneously, and from 1918 to 1919, both decreased simultaneously.
