To determine which profession is projected to have the greatest percentage increase in the number of jobs from 2006 to 2016, we need to calculate the percentage increase for each profession. The percentage increase can be found using the formula:
[tex]\[ \text{Percentage Increase} = \left( \frac{\text{Value in 2016} - \text{Value in 2006}}{\text{Value in 2006}} \right) \times 100 \][/tex]
Let's calculate the percentage increase for each profession:
1. Orthodontist:
[tex]\[ \text{Value in 2006} = 9,206 \][/tex]
[tex]\[ \text{Value in 2016} = 10,214 \][/tex]
[tex]\[ \text{Percentage Increase} = \left( \frac{10,214 - 9,206}{9,206} \right) \times 100 \approx 10.95\% \][/tex]
2. Sound engineer technician:
[tex]\[ \text{Value in 2006} = 16,125 \][/tex]
[tex]\[ \text{Value in 2016} = 17,864 \][/tex]
[tex]\[ \text{Percentage Increase} = \left( \frac{17,864 - 16,125}{16,125} \right) \times 100 \approx 10.78\% \][/tex]
3. Police officer:
[tex]\[ \text{Value in 2006} = 648,982 \][/tex]
[tex]\[ \text{Value in 2016} = 719,041 \][/tex]
[tex]\[ \text{Percentage Increase} = \left( \frac{719,041 - 648,982}{648,982} \right) \times 100 \approx 10.80\% \][/tex]
4. Editor:
[tex]\[ \text{Value in 2006} = 122,273 \][/tex]
[tex]\[ \text{Value in 2016} = 124,135 \][/tex]
[tex]\[ \text{Percentage Increase} = \left( \frac{124,135 - 122,273}{122,273} \right) \times 100 \approx 1.52\% \][/tex]
Now, let's compare the percentage increases:
- Orthodontist: 10.95%
- Sound engineer technician: 10.78%
- Police officer: 10.80%
- Editor: 1.52%
The profession with the greatest percentage increase is Orthodontist with an increase of approximately 10.95%.
Therefore, the best answer is:
a. Orthodontist
