Answer :
We are given the percentage changes for four different professions:
[tex]$$
\begin{array}{rcl}
\text{Postal service mail carriers} & : & -26.8\% \\
\text{Data entry keyers} & : & -24.6\% \\
\text{Sewing machine operators} & : & -25.8\% \\
\text{Postal service clerks} & : & -31.8\%
\end{array}
$$[/tex]
To determine which profession is expected to lose the highest percentage of jobs, we compare these percentages. A higher percentage loss means the number has a lower (more negative) value.
Comparing the values:
- [tex]$-26.8\%$[/tex] for postal service mail carriers
- [tex]$-24.6\%$[/tex] for data entry keyers
- [tex]$-25.8\%$[/tex] for sewing machine operators
- [tex]$-31.8\%$[/tex] for postal service clerks
The most negative percentage is [tex]$-31.8\%$[/tex], which is associated with postal service clerks.
Thus, the profession expected to lose the highest percentage of jobs is:
[tex]$$\textbf{Postal service clerks}.$$[/tex]
[tex]$$
\begin{array}{rcl}
\text{Postal service mail carriers} & : & -26.8\% \\
\text{Data entry keyers} & : & -24.6\% \\
\text{Sewing machine operators} & : & -25.8\% \\
\text{Postal service clerks} & : & -31.8\%
\end{array}
$$[/tex]
To determine which profession is expected to lose the highest percentage of jobs, we compare these percentages. A higher percentage loss means the number has a lower (more negative) value.
Comparing the values:
- [tex]$-26.8\%$[/tex] for postal service mail carriers
- [tex]$-24.6\%$[/tex] for data entry keyers
- [tex]$-25.8\%$[/tex] for sewing machine operators
- [tex]$-31.8\%$[/tex] for postal service clerks
The most negative percentage is [tex]$-31.8\%$[/tex], which is associated with postal service clerks.
Thus, the profession expected to lose the highest percentage of jobs is:
[tex]$$\textbf{Postal service clerks}.$$[/tex]