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 percent increase for each profession using the given employment numbers. We use the following formula for percentage increase:
[tex]\[
\text{Percent Increase} = \left( \frac{\text{Employment in 2016} - \text{Employment in 2006}}{\text{Employment in 2006}} \right) \times 100
\][/tex]
Let's calculate the percent increase for each profession:
1. Orthodontist:
[tex]\[
\text{Employment in 2006} = 9206
\][/tex]
[tex]\[
\text{Employment in 2016} = 10214
\][/tex]
[tex]\[
\text{Percent Increase} = \left( \frac{10214 - 9206}{9206} \right) \times 100 = \left( \frac{1008}{9206} \right) \times 100
\][/tex]
2. Sound Engineer Technician:
[tex]\[
\text{Employment in 2006} = 16125
\][/tex]
[tex]\[
\text{Employment in 2016} = 17864
\][/tex]
[tex]\[
\text{Percent Increase} = \left( \frac{17864 - 16125}{16125} \right) \times 100 = \left( \frac{1739}{16125} \right) \times 100
\][/tex]
3. Police Officer:
[tex]\[
\text{Employment in 2006} = 648982
\][/tex]
[tex]\[
\text{Employment in 2016} = 719041
\][/tex]
[tex]\[
\text{Percent Increase} = \left( \frac{719041 - 648982}{648982} \right) \times 100 = \left( \frac{70059}{648982} \right) \times 100
\][/tex]
4. Editor:
[tex]\[
\text{Employment in 2006} = 122273
\][/tex]
[tex]\[
\text{Employment in 2016} = 124135
\][/tex]
[tex]\[
\text{Percent Increase} = \left( \frac{124135 - 122273}{122273} \right) \times 100 = \left( \frac{1862}{122273} \right) \times 100
\][/tex]
After calculating these percentage increases, we find that the orthodontist profession has the greatest percent increase in the number of jobs from 2006 to 2016.
Therefore, the best answer is:
a. Orthodontist
