To determine which two areas have the number of buckeye butterflies and monarch butterflies in the same proportion, we need to compare the ratios of buckeye butterflies to monarch butterflies for each area.
Given data:
- Area A: 15 buckeye, 16 monarch
- Area B: 27 buckeye, 36 monarch
- Area C: 12 buckeye, 25 monarch
- Area D: 24 buckeye, 32 monarch
- Area E: 44 buckeye, 33 monarch
We start by calculating the ratio for each area:
1. Area A: [tex]\(\frac{15}{16}\)[/tex]
2. Area B: [tex]\(\frac{27}{36} = \frac{3}{4}\)[/tex]
3. Area C: [tex]\(\frac{12}{25}\)[/tex]
4. Area D: [tex]\(\frac{24}{32} = \frac{3}{4}\)[/tex]
5. Area E: [tex]\(\frac{44}{33} = \frac{4}{3}\)[/tex]
Now, we compare these ratios to find which ones are the same:
- Ratio for Area A: [tex]\(\frac{15}{16}\)[/tex]
- Ratio for Area B: [tex]\(\frac{3}{4}\)[/tex]
- Ratio for Area C: [tex]\(\frac{12}{25}\)[/tex]
- Ratio for Area D: [tex]\(\frac{3}{4}\)[/tex]
- Ratio for Area E: [tex]\(\frac{4}{3}\)[/tex]
We can observe that the ratios for Area B ([tex]\(\frac{3}{4}\)[/tex]) and Area D ([tex]\(\frac{3}{4}\)[/tex]) are the same.
Therefore, the answer is:
C. Areas B and D
