Answered

\begin{tabular}{llll}
\hline
Year & Total Population & Labor Force & Unemployed \\
\hline
2010 & 309,438 & 153,889 & 14,825 \\
2011 & 311,663 & 153,617 & 13,747 \\
2012 & 313,998 & 154,995 & 12,506 \\
2013 & 316,205 & 155,389 & 11,460 \\
2014 & 318,563 & 155,922 & 9,617 \\
\hline
2015 & 320,897 & 157,130 & 8,296 \\
2016 & 323,127 & 159,187 & 7,751 \\
2017 & 325,085 & 160,320 & 6,982 \\
2018 & 327,096 & 162,075 & 6,314 \\
2019 & 329,065 & 163,539 & 6,001 \\
\hline
\end{tabular}

Instructions: Enter your responses as a percentage rounded to one decimal place.

In 2013,
a. What percentage of the labor force was employed?
[tex]$\square$[/tex] [tex]$\%$[/tex]

b. What percentage of the labor force was unemployed?
[tex]$\square$[/tex] [tex]$\%$[/tex]

c. What percentage of the total population was employed?
[tex]$\square$[/tex] [tex]$\%$[/tex]



Answer :

GinnyAnswer
Let's break down and solve each part of the question for the year 2013, using the given data.

### Part a: Percentage of the Labor Force that was Employed

First, we identify the relevant data points for 2013:
- Total Population in 2013: [tex]\(316,205\)[/tex]
- Number of Employed in 2013: [tex]\(155,389\)[/tex]
- Number of Unemployed in 2013: [tex]\(11,460\)[/tex]

The labor force can be calculated as the sum of employed and unemployed individuals:
[tex]\[ \text{Labor Force (2013)} = 155,389 + 11,460 = 166,849 \][/tex]

Next, to find the percentage of the labor force that was employed:
[tex]\[ \text{Percentage Employed Labor Force} = \left( \frac{155,389}{166,849} \right) \times 100 \][/tex]

According to the calculated values:
[tex]\[ \text{Percentage Employed Labor Force} = 93.1\% \][/tex]

So,
[tex]\[ \boxed{93.1\%} \][/tex]

### Part b: Percentage of the Labor Force that was Unemployed

Similarly, to find the percentage of the labor force that was unemployed:
[tex]\[ \text{Percentage Unemployed Labor Force} = \left( \frac{11,460}{166,849} \right) \times 100 \][/tex]

According to the calculated values:
[tex]\[ \text{Percentage Unemployed Labor Force} = 6.9\% \][/tex]

So,
[tex]\[ \boxed{6.9\%} \][/tex]

### Part c: Percentage of the Total Population that was Employed

Here, we need to find the percentage of the total population that was employed:
[tex]\[ \text{Percentage Employed Population} = \left( \frac{155,389}{316,205} \right) \times 100 \][/tex]

According to the calculated values:
[tex]\[ \text{Percentage Employed Population} = 49.1\% \][/tex]

So,
[tex]\[ \boxed{49.1\%} \][/tex]

### Summary:
a. Percentage of the labor force that was employed: [tex]\( \boxed{93.1\%} \)[/tex]

b. Percentage of the labor force that was unemployed: [tex]\( \boxed{6.9\%} \)[/tex]

c. Percentage of the total population that was employed: [tex]\( \boxed{49.1\%} \)[/tex]

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