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Proportional? x −4 −2 0 y 0 2 4 x 3 1 −1 y −2 0 2 x 0 1 2 y −1 0 1 x 6 3 0 y −2 −1 0

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The first set of data is not proportional because the ratio between the input and output values is not constant. For example, when x decreases from -4 to -2, y increases by 2 (from 0 to 2), which is a ratio of 1:1. When x decreases from -2 to 0, y increases by 2 (from 2 to 4), which is a ratio of 1:2.

The second set of data is proportional because the ratio between the input and output values is constant. For example, when x decreases from 3 to 1, y increases by 2 (from -2 to 0), which is a ratio of 1:1. When x decreases from 1 to -1, y increases by 2 (from 0 to 2), which is also a ratio of 1:1.

The third set of data is proportional because the ratio between the input and output values is constant. For example, when x increases from 0 to 1, y increases by 1 (from -1 to 0), which is a ratio of 1:1. When x increases from 1 to 2, y increases by 1 (from 0 to 1), which is also a ratio of 1:1.

The fourth set of data is not proportional because the ratio between the input and output values is not constant. For example, when x decreases from 6 to 3, y decreases by 1 (from -2 to -1), which is a ratio of 1:3. When x decreases from 3 to 0, y decreases by 1 (from -1 to 0), which is a ratio of 1:3, but from x=0 to x=-3, y does not decrease by 1, meaning that the ratio among changes varies.

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