Question

Look at the following table:


Which of the statement is correct regarding the data represented in the table?

• A. A is function of X
• B. Y is a function of X
• C. X is a function of Y
• D. X is a function of A

Answer 1

The correct option is D X is a function of A

If X is function of Y, then input = Y and output = X

Input	Output
Y = 750	X = 500
Y = 1250	X = 750 and 500
Y = 550	X = 1100 and 1200

We have more than one output for a particular input.
Hence, X is not a function of Y.

If Y is function of X, then input = X and output = Y

Input	Output
X = 500	Y = 750 and 1250

We have more than one output for a particular input.
Hence, Y is also not a function of X.

If A is function of X, then input = X and output = A

Input	Output
X = 500	A = 1 and 3

We have more than one output for a particular input.
Hence, A is not a function of X.

If X is function of A, then input = A and output = X

Input	Output
A = 1	X = 500
A = 2	X = 750
A = 3	X = 500
A = 4	X = 1100
A = 5	X = 1200

We have one output for a particular input.
Hence, X is a function of A.