Question

Select the table that represents the ratio of blue triangles to white triangles.



A.
Blue 4 6 12 15
White 18 45 54 72

B.
Blue 2 10 12 16
White 18 45 54 72

C.
Blue 4 10 12 16
White 18 45 54 72

D.
Blue 4 45 12 16
White 18 10 54 72

Answer 1

To select the table that represents the ratio of blue triangles to white triangles, we need to find the ratios for each option and ensure they are consistent across both blue and white triangles in each table.

Let's calculate the ratios for each option:

**A.**
- Blue = [4, 6, 12, 15]
- White = [18, 45, 54, 72]

Ratios:
- 4:18 = 2:9
- 6:45 = 2:15
- 12:54 = 2:9
- 15:72 = 5:24

The ratios are inconsistent.

---

**B.**
- Blue = [2, 10, 12, 16]
- White = [18, 45, 54, 72]

Ratios:
- 2:18 = 1:9
- 10:45 = 2:9
- 12:54 = 2:9
- 16:72 = 2:9

The ratios are consistently 2:9.

---

**C.**
- Blue = [4, 10, 12, 16]
- White = [18, 45, 54, 72]

Ratios:
- 4:18 = 2:9
- 10:45 = 2:9
- 12:54 = 2:9
- 16:72 = 2:9

The ratios are consistently 2:9.

---

**D.**
- Blue = [4, 45, 12, 16]
- White = [18, 10, 54, 72]

Ratios:
- 4:18 = 2:9
- 45:10 = 9:2. Since this one does not match, we can stop here.

The ratios are inconsistent.

---

Upon reviewing the calculations, **options B and C both provide consistent ratios (2:9)** of blue triangles to white triangles throughout, while options A and D do not.

If only one option must be selected, **B** or **C** fit the criteria. However, if required to choose only one option consistently, I would go with option **B** as it has smaller values, making it standard to represent the ratio.

Therefore, the answer is **B.**