which of the following is an example of a proportional relationship between x and y?
A. y = 2
B. y = 3x
C. 4y + 4x = 6
D. 4y - 2 = 2x - 4
I couldn't even understand the question, can anyone help?
http://www.mathsisfun.com/algebra/cross-multiply.html
The only choice that has y on one side and x on the other is D.
so when the quetion comes like this, x and y are impossible in one side together? but B also is y on one side and x on the other side, i am so confused.
To determine if a relationship between x and y is proportional, we need to check if there is a constant ratio between the values of x and y.
Let's analyze each option:
A. y = 2
In this case, the value of y is constant and does not change regardless of the value of x. Therefore, it is not a proportional relationship.
B. y = 3x
In this case, the value of y is directly proportional to the value of x because there is a constant ratio of 3:1 between y and x. For every increase of 1 in x, the value of y increases by 3. Therefore, it is a proportional relationship.
C. 4y + 4x = 6
This equation is not in the form of y = kx, where k is a constant. Since there are terms containing both x and y and a constant on the right side of the equation, it does not represent a proportional relationship.
D. 4y - 2 = 2x - 4
Similar to option C, this equation is not in the form of y = kx, where k is a constant. Therefore, it does not represent a proportional relationship.
Based on the analysis, the answer is B. y = 3x, which is an example of a proportional relationship between x and y.