Given that
can only attain values of negative integers. In how many of the following equations,
is not directly proportional to
?
A)
B)
C)
D)
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y is said to be directly proportional to x if y = k x . Now let us examine the options given. Do they agree with the form y = k x
A) x + y = 1 or y = 1 − x , isn't of the form y = k x
B) x + y = 0 or y = − x , is of the form y = k x . Where k = − 1 .
C) x / y ) or y = x , is of the form y = k x . Where k = 1 .
D) x y = 1 or y = 1 / x , isn't of the form y = k x
So there are only two option, (A) & (D), in which y isn't directly proportional to x . Hence, the answer is 2 .