Question

Which ordered pair would form a proportional relationship with the point graphed below? On a coordinate plane, a line goes through points (0, 0) and (45, 30). (10, 10) (25, 35) (70, 50) (90, 60)

Answer 1

To determine which ordered pair forms a proportional relationship with the given points, we need to check if the ratio of y-values to x-values remains constant.

Let's calculate the ratio for each option:

1. (10, 10): y-value/x-value = 10/10 = 1/1 = 1

2. (25, 35): y-value/x-value = 35/25 = 7/5 = 1.4

3. (70, 50): y-value/x-value = 50/70 = 5/7 ≈ 0.714

4. (90, 60): y-value/x-value = 60/90 = 2/3 ≈ 0.667

The only ordered pair with a constant ratio (approximately 1) is (10, 10). Therefore, (10, 10) forms a proportional relationship with the given points (0, 0) and (45, 30).