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If y is directly proportional to x, and y = 36 when x = 6, what are the values of y when x = 8 and x = 10?

A
56 and 48


B
60 and 64


C
32 and 40


D
48 and 60

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Answer:

The correct answer is B. 60 and 64. When y is directly proportional to x, it means that the ratio of y to x remains constant. In this case, when x=6, y=36, which means that the ratio of y to x is 36/6. Since the ratio is constant, we can use that ratio to find the values of y when x=8 and x=10. When x=8, y = (36/6)x8 = 60 and when x=10, y = (36/6)x10 = 64.

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