Question

Y and X can both be proportional if:

A. product of Y and X is constant
B. quotient of Y and X is constant
C. increase by x + 2
D. increase by 2x

Answer 1

Answer: B. quotient of Y and X is constant.

Explanation:

If Y and X are proportional, it means that as one variable increases, the other variable also increases or decreases by a constant factor. Mathematically, this can be represented as Y = kX, where k is the constant of proportionality.

If we take the quotient of Y and X, we get:

Y/X = k/X

Here, we can see that the quotient of Y and X is proportional to the constant of proportionality k divided by X. Therefore, if Y and X are proportional, their quotient should be constant.

Answer 2

Answer: B. quotient of Y and X is constant.

Explanation:

If Y and X are proportional, it means that as one variable increases, the other variable also increases or decreases by a constant factor. Mathematically, this can be represented as Y = kX, where k is the constant of proportionality.

If we take the quotient of Y and X, we get:

Y/X = k/X

Here, we can see that the quotient of Y and X is proportional to the constant of proportionality k divided by X. Therefore, if Y and X are proportional, their quotient should be constant.