If y varies directly as x , and y is 6 when x is 72 , what is the value of y when x is 8 ?

Direct variation means y = kx for a constant k. Using y = 6 when x = 72 gives k = 6/72 = 1/12. When x = 8, y = (1/12)(8) = 2/3, so the answer is “2 thirds.”

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