Answered

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

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

For 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
### Analysis for the Year 2013

Given the data:

- Total Population in 2013: 316,205
- Labor Force in 2013: 155,389
- Employed in 2013: 154,995

First of all, let's find the number of unemployed people in 2013 by subtracting the number of employed people from the labor force.

[tex]\[ \text{Unemployed 2013} = \text{Labor Force 2013} - \text{Employed 2013} = 155,389 - 154,995 = 394 \][/tex]

Now, let’s answer each part of the question step by step:

#### a. What percentage of the labor force was employed?

To find this percentage, we use the employed number divided by the labor force number, and then multiply by 100.

[tex]\[ \text{Percentage of labor force employed} = \left( \frac{\text{Employed 2013}}{\text{Labor Force 2013}} \right) \times 100 = \left( \frac{154,995}{155,389} \right) \times 100 \][/tex]

This fraction equates to approximately 99.7% when rounded to one decimal place.

[tex]\[ \boxed{99.7\%} \][/tex]

#### b. What percentage of the labor force was unemployed?

To find this percentage, we use the unemployed number divided by the labor force number, and then multiply by 100.

[tex]\[ \text{Percentage of labor force unemployed} = \left( \frac{\text{Unemployed 2013}}{\text{Labor Force 2013}} \right) \times 100 = \left( \frac{394}{155,389} \right) \times 100 \][/tex]

This fraction equates to approximately 0.3% when rounded to one decimal place.

[tex]\[ \boxed{0.3\%} \][/tex]

#### c. What percentage of the total population was employed?

To find this percentage, we use the employed number divided by the total population number, and then multiply by 100.

[tex]\[ \text{Percentage of total population employed} = \left( \frac{\text{Employed 2013}}{\text{Population 2013}} \right) \times 100 = \left( \frac{154,995}{316,205} \right) \times 100 \][/tex]

This fraction equates to approximately 49.0% when rounded to one decimal place.

[tex]\[ \boxed{49.0\%} \][/tex]

Therefore, the percentages for the year 2013 are:

a. 99.7% of the labor force was employed.
b. 0.3% of the labor force was unemployed.
c. 49.0% of the total population was employed.