A country with a population of eight million adults has five million employed, 500,000 unemployed, and the rest of the adult population is out of the labor force. What's the unemployment rate? What share of population is in the labor force? Sketch a pie chart that divides the adult population into these three groups.

The labor force consists of both employed and unemployed individuals. In this case, there are 5,000,000 employed and 500,000 unemployed people. Labor force = Employed + Unemployed Labor force = 5,000,000 + 500,000 Labor force = 5,500,000

Next, we will calculate the unemployment rate by dividing the number of unemployed people by the total labor force and then multiply by 100 to get the percentage rate. Unemployment rate = (Unemployed / Labor force) * 100 Unemployment rate = (500,000 / 5,500,000) * 100 Unemployment rate = 9.09% (approximately)

Now, we will calculate the share of the population that is in the labor force by dividing the total labor force by the adult population and then multiply by 100 to get the percentage rate. Share of population in the labor force = (Labor force / Total adult population) * 100 Share of population in the labor force = (5,500,000 / 8,000,000) * 100 Share of population in the labor force = 68.75%

To determine the number of adults who are out of the labor force, we will subtract the total labor force from the adult population. Adults out of the labor force = Total adult population - Labor force Adults out of the labor force = 8,000,000 - 5,500,000 Adults out of the labor force = 2,500,000

Finally, we will represent the adult population divided into the three groups (employed, unemployed, and out of the labor force) by sketching a pie chart. 1. Divide the pie into three segments according to the percentages: - Employed: \( \frac{5,000,000}{8,000,000} \) * 100 = 62.5% - Unemployed: 9.09% (calculated in step 2) - Out of the labor force: \( \frac{2,500,000}{8,000,000} \) * 100 = 31.25% 2. Label each segment of the pie chart with the corresponding percentage and category (e.g., employed, unemployed, and out of the labor force). However, please note that it is not possible to sketch a pie chart in this text-based format. To create a pie chart, use a spreadsheet software like Microsoft Excel, Google Sheets, or a specialized charting tool.