To calculate the labor-force participation rate and the unemployment rate, we can use the following formulas:
-
Labor-Force Participation Rate (LFPR): \[ \text{LFPR} = \left( \frac{\text{Labor Force}}{\text{Adult Non-Institutionalized Population}} \right) \times 100 \]
-
Unemployment Rate (UR): \[ \text{UR} = \left( \frac{\text{Labor Force} - \text{Employed}}{\text{Labor Force}} \right) \times 100 \]
Now let's plug in the values:
- Adult non-institutionalized population = 51.070 million
- Labor force = 24.710 million
- Employed = 22.765 million
Step 1: Calculate Labor-Force Participation Rate
\[ \text{LFPR} = \left( \frac{24.710}{51.070} \right) \times 100 \approx 48.4% \]
Step 2: Calculate Unemployment Rate
\[ \text{Unemployed} = \text{Labor Force} - \text{Employed} = 24.710 - 22.765 = 1.945 \text{ million} \] \[ \text{UR} = \left( \frac{1.945}{24.710} \right) \times 100 \approx 7.9% \]
Conclusion:
- Labor-force participation rate ≈ 48.4%
- Unemployment rate ≈ 7.9%
Thus, the correct answer is: d. 48.4% and 7.9%.