Question

Which table shows a proportional relationship between x and y? x 1 2 7 8 y 0.5 1 3.5 4 x 2 3 4 5 y 7 9 11 13 x 3 6 8 10 y 12 15 18 20 x 3 7.5 15 20 y 1 2.5 4 6

Answer 1

The first table shows a proportional relationship.

Answer 2

First table.

Explanation:

Among the options, the first table is showing a proportional relationship, because each y-value is half of the x-value. The ratio of this proportion is
`(1)/(2)`, we can find that by calculating the slope:

`m=(\Delta y)/(\Delta x)=(1-0.5)/(2-1)=(0.5)/(1)=(1)/(2)`

Therefore, the right answer is the first table.