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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

Verified Answer :

Airikha

The first table shows a proportional relationship.

Answer:

First table.

Step-by-step 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 \(\frac{1}{2}\), we can find that by calculating the slope:

\(m=\frac{\Delta y}{\Delta x}=\frac{1-0.5}{2-1}=\frac{0.5}{1}=\frac{1}{2}\)

Therefore, the right answer is the first table.

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