To determine which of the given pairs of values is equivalent to the ratios in the table, we first need to identify the ratio represented by the pairs in the table.
Let's calculate the ratio (y/x) for each pair:
- For (2, 6): \( \frac{6}{2} = 3 \)
- For (3, 9): \( \frac{9}{3} = 3 \)
- For (5, 15): \( \frac{15}{5} = 3 \)
- For (10, 30): \( \frac{30}{10} = 3 \)
- For (15, 45): \( \frac{45}{15} = 3 \)
All pairs have a ratio of 3, which means they represent the same equivalent ratio (or fraction) \( \frac{y}{x} = 3 \).
Now, let's check the given pairs to see which ones have the same ratio (3):
A. (4, 12): \( \frac{12}{4} = 3 \) ✓ B. (1, 4): \( \frac{4}{1} = 4 \) ✗ C. (3, 1): \( \frac{1}{3} \approx 0.33 \) ✗ D. (20, 50): \( \frac{50}{20} = 2.5 \) ✗
The only pair that has a ratio equivalent to the ones in the table is:
A. (4, 12)
1 answer