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 values of x and y:
For x = 40, y = 32, the ratio of y to x is 32/40 = 0.8
For x = 28, y = 16, the ratio of y to x is 16/28 = 0.571
For x = 16, y = 12, the ratio of y to x is 12/16 = 0.75
Since the ratios are not the same for all values of x and y, y does not vary directly with x. Therefore, we cannot write an equation for direct variation.
For the data in the table, does y vary directly with x? If it does, write an equation for the direct variation. x y 40 32 28 16 16 12 (1 point) Responses
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