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Y Is Inversely Proportional To X When Y=120,X=2, The Constant Of Proportionality, K, Is 240. a) True b) False

User Rapptz
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Final answer:

The statement that Y is inversely proportional to X when Y=120, X=2, and K=240 is false because the product of Y and X (240) does not match the given constant of proportionality, K (240).

Step-by-step explanation:

The statement 'Y is inversely proportional to X when Y=120, X=2, The constant of proportionality, K, is 240.' is false. In an inverse proportionality relationship, the product of the two variables results in a constant (k). Therefore, if Y is inversely proportional to X, then XY = K. So in this case, if X=2 and Y=120, the constant of proportionality K should be 240, but by multiplying Y and X, we get only 240. Therefore, the given constant value (K=240) is not equal with the product of Y and X (240), which shows the statement is incorrect.

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