which table shows a proportional relationship?
a. x | 1 | 3 | 4 | 6 |
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y | 2 | 4 | 6 | 7 |
b. x | 1 | 2 | 5 | 8 |
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y | -2 | 0 | 6 | 12 |
c. x | 2 | 3 | 5 | 6
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y | -4 | -6 | -10 | -12
d. x | 2 | 4 | 6 | 8 |
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y | 2 | 3 | 4 | 5 |
The table that shows a proportional relationship is option (d):
x | 2 | 4 | 6 | 8 |
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y | 2 | 3 | 4 | 5 |
In this table, the ratio between x and y is always the same. For example, when x is 2, y is 2. When x is 4, y is 3, which is equivalent to y being 1.5 times the value of x. This ratio remains constant for all values of x and y in the table, indicating a proportional relationship.