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To determine if y varies directly with x, we need to check if the ratio of y to x remains constant.
Let's calculate the ratios for the given data:
24/32 = 0.75
8/16 = 0.5
6/8 = 0.75
Since the ratios are not constant, y does not vary directly with x.
Therefore, the correct answer is:
d. no; y does not vary directly with x.