which of the following tables represents a proportional relationship?
A.
x
y
B.
x
y
C.
x
y
D.
x
y
To answer this question, we need to identify which table has a constant ratio between the x-values and y-values.
Table A has x-values that increase by 1 each time, while the y-values increase by 3 each time. Therefore, the ratio is not constant and does not represent a proportional relationship.
Table B has x-values that increase by 2 each time, while the y-values increase by 2 each time. Therefore, the ratio is constant (1:1) and represents a proportional relationship.
Table C has y-values that increase by 5 each time, while the x-values increase by 1 each time. Therefore, the ratio is not constant and does not represent a proportional relationship.
Table D has x-values that increase by 3 each time, while the y-values increase by 9 each time. Therefore, the ratio is not constant and does not represent a proportional relationship.
The correct answer is B.