Which equation represents an inverse variation?
A.3x=2y
B.2-2x+y=0
C.y squared= x
D.xy=5
If you could tell me the anser then explain how you got it that would be awesome!
A=3x=2y
hard question i didn't understand anything:( good luck
To determine which equation represents an inverse variation, we need to understand what inverse variation means. Inverse variation occurs when two variables, let's say x and y, are related in a way that as one variable increases, the other variable decreases and vice versa. Mathematically, this can be represented as the product of the two variables being constant.
Let's analyze each equation and see which one fits this pattern.
A. 3x = 2y
This equation represents a direct variation, not inverse variation. In direct variation, if one variable increases, the other variable also increases. In this equation, if x increases, y will also increase.
B. 2 - 2x + y = 0
This equation is not a simple linear equation. It does not represent inverse variation as it consists of variables being added and subtracted, making it difficult to determine their relationship.
C. y^2 = x
This equation represents inverse variation. As x increases, y^2 decreases, and vice versa. It follows the pattern that the product of the two variables (x and y^2) is constant.
D. xy = 5
This equation represents inverse variation. As x increases, y decreases so that their product remains constant at 5.
Therefore, the equations C and D represent inverse variation.