Julian is trying to decide on a future career. He has narrowed down his choices to orthodontist, sound engineering technician, police officer, or editor. The following table represents the total employment numbers for 2006 and projected employment numbers for 2016.

\begin{tabular}{|l|l|l|l|l|}
\hline & Orthodontist & Sound engineering technician & Police officer & Editor \\
\hline 2006 & 9,206 & 16,125 & 648,982 & 122,273 \\
\hline 2016 & 10,214 & 17,864 & 719,041 & 124,135 \\
\hline
\end{tabular}

Which profession is projected to have the greatest percent increase in the number of jobs from 2006 to 2016?

A. Orthodontist
B. Sound engineering technician
C. Police officer
D. Editor

Please select the best answer from the choices provided.



Answer :

To determine which profession is projected to have the greatest percent increase in the number of jobs from 2006 to 2016, we need to calculate the percent increase for each profession.

Here's a step-by-step solution for calculating the percent increase for each profession:

1. Orthodontist:
- Employment in 2006: 9,206
- Employment in 2016: 10,214
- Percent increase calculation:
[tex]\[ \text{Percent Increase} = \left( \frac{\text{2016 employment} - \text{2006 employment}}{\text{2006 employment}} \right) \times 100 \][/tex]
[tex]\[ \text{Percent Increase} = \left( \frac{10,214 - 9,206}{9,206} \right) \times 100 \approx 10.95\% \][/tex]

2. Sound Engineer Technician:
- Employment in 2006: 16,125
- Employment in 2016: 17,864
- Percent increase calculation:
[tex]\[ \text{Percent Increase} = \left( \frac{17,864 - 16,125}{16,125} \right) \times 100 \approx 10.78\% \][/tex]

3. Police Officer:
- Employment in 2006: 648,982
- Employment in 2016: 719,041
- Percent increase calculation:
[tex]\[ \text{Percent Increase} = \left( \frac{719,041 - 648,982}{648,982} \right) \times 100 \approx 10.80\% \][/tex]

4. Editor:
- Employment in 2006: 122,273
- Employment in 2016: 124,135
- Percent increase calculation:
[tex]\[ \text{Percent Increase} = \left( \frac{124,135 - 122,273}{122,273} \right) \times 100 \approx 1.52\% \][/tex]

After calculating the percent increase for each profession, we observe that:

- Orthodontist: 10.95%
- Sound Engineer Technician: 10.78%
- Police Officer: 10.80%
- Editor: 1.52%

Among these professions, the one with the greatest percent increase in employment from 2006 to 2016 is Orthodontist with approximately 10.95%.

Therefore, the best answer is:
a. Orthodontist