Question

This table shows a proportional Relationship. Explain why in the space for the answer x y 10 2 15 3 40 8

Answer 1

[AI-generated answer — Bot GPT 3.5]

In a proportional relationship, the ratio of y to x remains constant. To determine the constant ratio, we can calculate the value of y/x for each pair of values in the table:

For x = 10, y = 2, y/x = 2/10 = 0.2
For x = 15, y = 3, y/x = 3/15 = 0.2
For x = 40, y = 8, y/x = 8/40 = 0.2

As we can see, the ratio y/x is always equal to 0.2. This means that for any value of x, if we multiply it by 0.2, we will get the corresponding value of y.

So, in this proportional relationship, the value of y is always equal to 0.2 times the value of x.