Use the following table to answer question. Numbers are in millions.

Total population 195.4

Adult population 139.7

Number of unemployed 5.7

Number of employed 92.3

The labor-force participation rate is
a. 47.1 percent.
b. 50.2 percent.
c. 65.9 percent.
d. 70.2 percent.
e. none of the above.

1 answer

To calculate the labor force participation rate, we first need to determine the labor force, which is the sum of the number of employed and the number of unemployed individuals.

Given:

  • Number of employed: 92.3 million
  • Number of unemployed: 5.7 million

Calculating the labor force: \[ \text{Labor Force} = \text{Number of Employed} + \text{Number of Unemployed} \] \[ \text{Labor Force} = 92.3 + 5.7 = 98.0 , \text{million} \]

Next, the labor force participation rate is calculated using the formula: \[ \text{Labor Force Participation Rate} = \left( \frac{\text{Labor Force}}{\text{Adult Population}} \right) \times 100 \]

Given the adult population is 139.7 million, we can plug in the numbers: \[ \text{Labor Force Participation Rate} = \left( \frac{98.0}{139.7} \right) \times 100 \]

Now, performing the division: \[ \frac{98.0}{139.7} \approx 0.7023 \]

Now, converting to a percentage: \[ 0.7023 \times 100 \approx 70.23 % \]

Thus, the labor force participation rate is approximately 70.2 percent.

The answer is: d. 70.2 percent.

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