Question

Refer to the scenario to answer the following questions. A government worker surveys a number of households and comes up with the following information: there were a total of 90 people in the households, 10 of the people were children under 16, 10 of the people were retired but still capable of working, 35 people had full-time jobs, 5 had part-time jobs, 5 were stay-at-home parents, 5 were full-time students over the age of 16, 5 were disabled people who could not work, 10 people had no job but were looking for jobs, and there were 5 people who wanted a job but were not looking for a job.

Answer 1

The unemployment rate is 9.09%, calculated by dividing 500,000 (unemployed) by 5,500,000 (total labor force). The share of the population in the labor force is 68.75%, found by dividing the labor force (5,500,000) by the total adult population (8,000,000). A pie chart should divide these groups proportionally based on their numbers relative to the total population.

Step-by-step explanation:

To calculate the unemployment rate and determine the share of the population in the labor force, we use the given data from a country with an adult population of eight million. The unemployment rate is found by dividing the number of unemployed individuals by the total number of individuals in the labor force (employed plus unemployed). The labor force share is found by adding the employed and unemployed figures and then dividing by the total adult population.

Calculating the Unemployment Rate

The number of unemployed people is 500,000. The labor force includes everyone who is either employed or unemployed, which is 5,500,000 (5 million employed + 500,000 unemployed). To calculate the unemployment rate, we divide the number of unemployed by the total labor force:

Unemployment Rate = (Unemployed / Labor Force) = (500,000 / 5,500,000) = 0.0909, or 9.09%

Calculating the Share of the Population in the Labor Force

To find the labor force share, we divide the labor force by the total adult population:

Labor Force Share = (Labor Force / Total Adult Population) = (5,500,000 / 8,000,000) = 0.6875, or 68.75%

Sketching the Pie Chart

To sketch a pie chart representing these groups, determine the proportion of each group: employed (5 million), unemployed (500,000), and out of the labor force (2.5 million). Each group would occupy a slice of the pie chart proportional to their numbers relative to the total population of 8 million