Question

if X and y are in direct variation, which of
the following it correct
?
(a) (x+y) is constant (b.) (X-y) is constant
(c.)
xy is constant
(d.)x/y is constant​

Answer 1

Answer:

If x and y are directly proportional, then which of the following is correct? k=x/y, where k is a constant.

Answer 2

The correct answer is (d.) x/y is constant.

The correct answer to the given question is (d.) x/y is constant. This is because the ratio of x to y remains constant in direct variation. As x increases, y also increases by the same factor, so the value of x/y remains constant.

Option (a) (x+y) is constant is not necessarily true in direct variation, as the sum of x and y may not remain constant as either variable changes.

Option (b) (X-y) is constant is also not necessarily true in direct variation, as the difference between x and y may change as either variable changes.

Option (c) xy is constant is not true for direct variation, as the product of x and y may change as either variable changes.

Therefore, the correct answer is (d.) x/y is constant.

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