The chart shows the casualties faced by the Central Powers.

\begin{tabular}{|l|r|r|}
\hline
& Total forces & \multicolumn{1}{|c|}{\begin{tabular}{c}
Total \\
casualties
\end{tabular}} \\
\hline
Germany & [tex]$11,000,000$[/tex] & [tex]$7,142,558$[/tex] \\
\hline
\begin{tabular}{l}
Austria- \\
Hungary
\end{tabular} & [tex]$7,800,888$[/tex] & [tex]$7,020,000$[/tex] \\
\hline
\begin{tabular}{l}
Ottoman \\
Empire
\end{tabular} & [tex]$2,850,000$[/tex] & [tex]$975,000$[/tex] \\
\hline
\end{tabular}

According to the chart, which country had the highest casualty rate in relation to their total forces?

A. France
B. Austria-Hungary
C. The United Kingdom
D. Germany



Answer :

To determine which country had the highest casualty rate in relation to their total forces, we need to calculate the casualty rate for each country and then compare them.

### Step-by-Step Solution:

1. Germany:
- Total Forces: 11,000,000
- Total Casualties: 7,142,558
- Casualty Rate: [tex]\( \frac{\text{Total Casualties}}{\text{Total Forces}} = \frac{7,142,558}{11,000,000} \approx 0.6493 \)[/tex] or approximately 64.93%

2. Austria-Hungary:
- Total Forces: 7,800,888
- Total Casualties: 7,020,000
- Casualty Rate: [tex]\( \frac{\text{Total Casualties}}{\text{Total Forces}} = \frac{7,020,000}{7,800,888} \approx 0.8999 \)[/tex] or approximately 89.99%

3. Ottoman Empire:
- Total Forces: 2,850,000
- Total Casualties: 975,000
- Casualty Rate: [tex]\( \frac{\text{Total Casualties}}{\text{Total Forces}} = \frac{975,000}{2,850,000} \approx 0.3421 \)[/tex] or approximately 34.21%

Now, let's compare these calculated casualty rates:
- Germany: 64.93%
- Austria-Hungary: 89.99%
- Ottoman Empire: 34.21%

Among the three countries, Austria-Hungary has the highest casualty rate of approximately 89.99%.

Therefore, according to the chart, Austria-Hungary had the highest casualty rate in relation to their total forces.