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23 May, 18:37

Which table shows a proportional relationship between x and y? x 2 3 5 6 y 3 4 7 9 x 4 6 8 10 y 6 8 10 12 x 1 5 8 10 y 15 75 120 150 x 3 9 10 15 y 1 3 4 5

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  1. 23 May, 21:34
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    Only the 3rd table shows a proportional relation between x and y.

    Step-by-step explanation:

    The first table is

    x 2 3 5 6

    y 3 4 7 9

    Here y is not increasing in uniform rate with x. So, the relation is not proportional.

    The second table is

    x 4 6 8 10

    y 6 8 10 12

    Here y is increasing in uniform rate with x, but at x = 0, y ≠ 0, Hence, the relationship is not proportional.

    The third table is

    x 1 5 8 10

    y 15 75 120 150

    Here, y is increasing in uniform rate with x, and at x = 0, y = 0, Hence, the relationship is proportional.

    The fourth table shows

    x 3 9 10 15

    y 1 3 4 5

    Here also y is not increasing in uniform rate with x. So, the relation is not proportional.

    Therefore, only the 3rd table shows a proportional relation between x and y. (Answer)
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