Which equation represents a proportional relationship?
A. y = x + 1/3
B. y = 1 − 1/3x
C. y = 3x + 1/3 ~~
D. y = 1/3x
my answer is C. am i right?
no
one of the four is not like the others
To determine which equation represents a proportional relationship, we need to identify the equation that follows the form y = kx, where k is a constant.
Let's analyze each option:
A. y = x + 1/3: This equation does not match the form y = kx, as there is an additional constant term (1/3) added to x. It does not represent a proportional relationship.
B. y = 1 - 1/3x: Similar to option A, this equation does not fit the form y = kx. It includes a constant term (1) subtracted from 1/3x. Hence, it does not represent a proportional relationship.
C. y = 3x + 1/3: This equation does not follow the form y = kx, as there is a constant term (1/3) added to the expression 3x. It does not represent a proportional relationship.
D. y = 1/3x: Finally, this equation matches the form y = kx, with k being 1/3. Whenever an equation follows this form, it implies a proportional relationship between y and x.
Therefore, the correct answer is option D: y = 1/3x, representing a proportional relationship.