Question

2) The point (3, 6/5 ) lies on the graph representing a proportional relationship. Which of the following points also lie on the same graph? Select all that apply. A. (1, 0.4) B. (1.5, 6/10)C. (6/5, 3)D. (4, 11/5) E. (15,6)

Answer 1

For two points to be proportional, they have to have the same ratio. This means, if we divide the x-coordinate and the y-coordinate in the given options, it should give us (3 ÷ 6/5 = 5/2) 5/2 or 2.5 in order to be part of the same graph where (3, 6/5) lies.

Let's start checking starting the first Option.

A. (1, 0.4) → 1 ÷ 0.4 = 2.5

B. (1.5, 6/10) → 1.5 ÷ 0.6 = 2.5

C. (6/5, 3) → 1.2 ÷ 3 = 0.4

D. (4, 11/5) → 4 ÷ 2.2 = 1.82

E. (15, 6) → 15 ÷ 6 = 2.5

As we can see above, some options have the same ratio with the point (3, 6/5) which is 2.5.

Therefore, Options A, B, and E are the other points that lies on the same graph with point (3, 6/5)