Final answer:
The correct option: b) 10 years
By dividing the total agency membership (100 members) by the number of members elected every two years (20 members), we can determine that a member holds their position for 10 years.
Step-by-step explanation:
To calculate how long a member holds their position at the agency, we need to use the given information about the average number of members and the frequency at which new members are elected. The agency averages 100 members and elects 20 new members every two years. This implies a constant total membership, with the new members effectively replacing those whose terms are ending.
To find out how long a member retains their position, we can divide the total number of members by the number elected every two years: 100 members ÷ 20 members elected every two years = 5 cycles of two years. Thus, a member holds their position for 5 cycles × 2 years per cycle = 10 years.
The correct answer to the question"How long does a member hold his/her position at the agency?" is b) 10 years. This calculation assumes that each member serves a full term and there are no mid-term vacancies or other changes affecting the total count of members.