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What are the table(s) that show a proportional relationship between x and y

What are the table(s) that show a proportional relationship between x and y-example-1

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9514 1404 393

Answer:

right table

Explanation:

There are a couple of ways you can go at this. Perhaps one of the easiest is to see if the y-values have the same ratio as the x-values.

Left Table

y1/y2 = (12/5)/3) = 12/15 = 4/5

x1/x2 = 9/10 ≠ 4/5 . . . . . relationship is not proportional

__

Right Table

If the table represents a proportional relationship, the ratio of y to x will be the same for all entries.

y1/x1 = (6/5)/2 = 3/5

y2/x2 = (18/5)/6 = 3/5

y3/x3 = 9/15 = 3/5

The constant of proportionality (k) is the ratio of y to x:

k = y/x = 3/5

The proportional relationship the table shows is y = 3/5x.

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