https://file.aiquickdraw.com/mathbot/file/1726060446897nilz8x3o.jpg

Let's analyze the table and calculate the missing data for the two countries (Brazil and Germany):

The table has the following columns:
- População em idade ativa (Population of working age)
- Força de trabalho (Labor force)
- Emprego (Employment)
- Desemprego (Unemployment)
- Taxa de desemprego (Unemployment rate)
- Taxa de participação da força de trabalho (Labor force participation rate)

### 1. Taxa de desemprego (Unemployment rate) for Brazil
The unemployment rate is calculated as:
\[
\text{Unemployment Rate} = \frac{\text{Unemployed}}{\text{Labor Force}} \times 100
\]
For Brazil, we have:
- Labor Force: 62,510
- Unemployed: 3,500

\[
\text{Unemployment Rate (Brazil)} = \frac{3,500}{62,510} \times 100 \approx 5.6\%
\]

### 2. Taxa de participação da força de trabalho (Labor force participation rate) for Brazil
This rate is calculated as:
\[
\text{Labor Force Participation Rate} = \frac{\text{Labor Force}}{\text{Working Age Population}} \times 100
\]
For Brazil:
- Labor Force: 62,510
- Working Age Population: 109,474

\[
\text{Labor Force Participation Rate (Brazil)} = \frac{62,510}{109,474} \times 100 \approx 57.1\%
\]

### 3. Labor Force for Germany
The unemployment rate for Germany is provided as 9.69%, and we know the unemployed population.

Using the formula for unemployment rate:
\[
9.69 = \frac{\text{Unemployed}}{\text{Labor Force}} \times 100
\]
Let \( x \) be the labor force. The unemployed population is:
\[
9.69 = \frac{9.69x}{100}
\]
Solving for \( x \):
\[
9.69x = 9.69 \times 39.591
\]
Now, let me calculate this.The labor force for Germany, based on the unemployment rate, is approximately 408.58 thousand people. This seems incorrect, as the provided unemployment number (39.591) must have a mistake—it should represent the labor force, not unemployment. 

Correcting this assumption:
- The labor force is **39.591 thousand**, and the unemployment number can be recalculated if needed.

Would you like me to proceed with further calculations or adjustments based on this correction? Let me know if you want more details on this. Meanwhile, here are five related questions to explore this topic:

1. How do different countries define the "labor force" in economic terms?
2. Why is the unemployment rate a critical indicator of economic health?
3. What could explain discrepancies in unemployment reporting between countries?
4. How does the participation rate impact a country's economic growth?
5. What policies can a country implement to reduce unemployment?

**Tip:** Always cross-check data with economic reports to avoid potential data-entry errors.

The table provides data for two countries (Brazil and Germany) and requires calculation of missing values such as unemployment rates and labor force participation rates.

Learn how to calculate the unemployment rate and labor force participation rate for Brazil and Germany using population and employment data. This guide includes step-by-step calculations and key economic formulas, suitable for students in Grades 10-12.

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