Staff Campers Ratio
1. The problem asks us to identify the correct verbal description for the proportional relationship between staff members and campers given as 12 staff members: 20 campers and 6 staff members: 10 campers.
2. To check proportionality, we find the ratio of staff members to campers in both cases.
3. For 12 staff members and 20 campers, the ratio is $$\frac{12}{20} = \frac{3}{5}$$ after simplification.
4. For 6 staff members and 10 campers, the ratio is $$\frac{6}{10} = \frac{3}{5}$$ after simplification.
5. Since both ratios simplify to $$\frac{3}{5}$$, the proportional relationship is 3 staff members for every 5 campers.
6. Therefore, the correct verbal description is: "There are 3 staff members for every 5 campers."