To determine which museum's entrance fee is proportional to the number of visitors, we need to check if the ratio of the fee to the number of visitors is consistent across all given data points for each museum.
Let's analyze each museum step by step:
### Museum A:
- Visitors: 2 | Fee: 4 -> Ratio = [tex]\( \frac{4}{2} = 2 \)[/tex]
- Visitors: 3 | Fee: 5 -> Ratio = [tex]\( \frac{5}{3} \approx 1.6667 \)[/tex]
- Visitors: 4 | Fee: 6 -> Ratio = [tex]\( \frac{6}{4} = 1.5 \)[/tex]
The ratios are not consistent for Museum A (2, 1.6667, and 1.5), so the entrance fee is not proportional to the number of visitors.
### Museum B:
- Visitors: 1 | Fee: 2 -> Ratio = [tex]\( \frac{2}{1} = 2 \)[/tex]
- Visitors: 4 | Fee: 8 -> Ratio = [tex]\( \frac{8}{4} = 2 \)[/tex]
- Visitors: 6 | Fee: 11 -> Ratio = [tex]\( \frac{11}{6} \approx 1.8333 \)[/tex]
The ratios are not consistent for Museum B (2, 2, and 1.8333), so the entrance fee is not proportional to the number of visitors.
### Museum C:
- Visitors: 3 | Fee: 4 -> Ratio = [tex]\( \frac{4}{3} \approx 1.3333 \)[/tex]
- Visitors: 12 | Fee: 16 -> Ratio = [tex]\( \frac{16}{12} \approx 1.3333 \)[/tex]
- Visitors: 18 | Fee: 24 -> Ratio = [tex]\( \frac{24}{18} \approx 1.3333 \)[/tex]
The ratios are consistent for Museum C (all are approximately 1.3333), so the entrance fee is proportional to the number of visitors.
### Conclusion:
Museum C is the one where the entrance fee is proportional to the number of visitors.
Therefore, the correct answer is:
C. museum C
