Answer:
b. 48.4% and 7.9%
Step-by-step explanation:
Given: Italian adult non- institutionalized population was 51.070 million.
The labor force was 24.710 million.
The number of people employed was 22.765 million.
Now, finding the Italian labor-force participation rate.
Labor-force participation rate=
![(Labor\ force)/(Total\ population)](https://img.qammunity.org/2021/formulas/business/high-school/u2nu87qtmts9uttylkxsn2lpqdn5cvyldi.png)
⇒ Labor-force participation rate=
![(24.710)/(51.070)* 100](https://img.qammunity.org/2021/formulas/business/high-school/rjj358c4gustzwaq8mfuxaiar03ak6qisc.png)
∴ Labor-force participation rate=
![48.38\% \approx 48.4\%](https://img.qammunity.org/2021/formulas/business/high-school/4vazp25rwvrzj0casitsy8lsyzto8opu6y.png)
Next finding unemployment rate.
Unemployment rate=
![(Total\ population- (Labor\ force+ people\ employed))/(Total\ population)](https://img.qammunity.org/2021/formulas/business/high-school/19z0l73rrq1j9fo385g0gnd5800on6sgw7.png)
⇒ Unemployment rate=
![(51.070- (24.710+22.765))/(51.070)](https://img.qammunity.org/2021/formulas/business/high-school/4t98lixegyq2z0ta229l53npj7vo50a6rd.png)
⇒ Unemployment rate=
![(51.070- (47.475))/(51.070)](https://img.qammunity.org/2021/formulas/business/high-school/ws0dlqxzwhjo7hhndbghcdwvo004eo0z6t.png)
Opening parenthesis.
⇒ Unemployment rate=
![(3.595)/(51.0170) * 100](https://img.qammunity.org/2021/formulas/business/high-school/bwd9m2sk5kp28pxe3ctaffd66cbdnb33gw.png)
∴ Unemployment rate=
![7.039\%](https://img.qammunity.org/2021/formulas/business/high-school/62yklgh1mcdeh06tx6dkgys9w1pk97thau.png)
Closest option available is
![7.9\%](https://img.qammunity.org/2021/formulas/business/high-school/i2ipauz3ud00bdva82go4pviwcyoyzc38z.png)
Hence, labor force participation rate is 48.4% and unemployment rate is 7.9%