To determine the unemployment rate in a town where 135,400 persons are employed and 10,000 are unemployed, we can follow these steps:
1. Calculate the total labor force:
The total labor force includes both employed and unemployed individuals. Therefore,
[tex]\[
\text{Labor Force} = \text{Number of Employed Persons} + \text{Number of Unemployed Persons}
\][/tex]
Substituting the given values:
[tex]\[
\text{Labor Force} = 135,400 + 10,000 = 145,400
\][/tex]
2. Calculate the unemployment rate:
The unemployment rate is the percentage of the labor force that is unemployed. It can be calculated using the formula:
[tex]\[
\text{Unemployment Rate} = \left( \frac{\text{Number of Unemployed Persons}}{\text{Labor Force}} \right) \times 100
\][/tex]
Substituting the values:
[tex]\[
\text{Unemployment Rate} = \left( \frac{10,000}{145,400} \right) \times 100 \approx 6.88\%
\][/tex]
Given the options:
A. 18.2 %
B. 6.9%
C. 13.4%
D. 11%
The correct answer is B. 6.9%.
