Which of the following equations represents a proportional relationship?
A. x = 2.8
B. y/x = 2.6
C. x + y = 2.8
D. y = 2.6/x
To determine which equation represents a proportional relationship, we need to understand what a proportional relationship means. In a proportional relationship, the ratio of one variable to the other remains constant.
Let's analyze each equation to see if the ratio between variables remains constant:
A. x = 2.8
This equation represents a linear relationship, where x is a constant value of 2.8. The ratio between variables is not present, so it is not proportional.
B. y/x = 2.6
This equation represents a proportional relationship. By dividing y by x and getting a constant value of 2.6, we see that the ratio between variables remains constant.
C. x + y = 2.8
This equation represents a linear relationship, where the sum of x and y is constant at 2.8. The ratio between variables is not present, so it is not proportional.
D. y = 2.6/x
This equation also represents a proportional relationship. By dividing y by x and getting a constant value of 2.6, we see that the ratio between variables remains constant.
Therefore, the equations that represent a proportional relationship are B and D.