To determine which profession is projected to have the greatest percent increase in the number of jobs from 2006 to 2016, we need to compute the percent increase for each profession and then compare these values.
### Step-by-Step Solution:
1. Identify Employment Numbers:
- Orthodontist:
- 2006: 9,206
- 2016: 10,214
- Sound Engineer Technician:
- 2006: 16,125
- 2016: 17,864
- Police Officer:
- 2006: 648,982
- 2016: 719,041
- Editor:
- 2006: 122,273
- 2016: 124,135
2. Calculate Percent Increase:
The formula for percent increase is:
[tex]\[
\text{Percent Increase} = \left(\frac{\text{New Number} - \text{Old Number}}{\text{Old Number}}\right) \times 100
\][/tex]
- Orthodontist:
[tex]\[
\left(\frac{10,214 - 9,206}{9,206}\right) \times 100 \approx 10.95\%
\][/tex]
- Sound Engineer Technician:
[tex]\[
\left(\frac{17,864 - 16,125}{16,125}\right) \times 100 \approx 10.78\%
\][/tex]
- Police Officer:
[tex]\[
\left(\frac{719,041 - 648,982}{648,982}\right) \times 100 \approx 10.80\%
\][/tex]
- Editor:
[tex]\[
\left(\frac{124,135 - 122,273}{122,273}\right) \times 100 \approx 1.52\%
\][/tex]
3. Compare the Percent Increases:
- Orthodontist: 10.95%
- Sound Engineer Technician: 10.78%
- Police Officer: 10.80%
- Editor: 1.52%
4. Conclusion:
The profession with the greatest percent increase in the number of jobs from 2006 to 2016 is the Orthodontist with an approximate percent increase of 10.95%.
So, the best answer is:
a. Orthodontist
