Suppose y varies directly as x. If y = 8 when x = 24, what is the value of x when y = 9?

For direct variation, y = kx, where k is constant. Using y = 8 when x = 24 gives k = 8/24 = 1/3, so y = x/3. When y = 9, x/3 = 9, which gives x = 27. The correct choice is 27.

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