The required table is table B which has a constant of proportionality between y and x of 0.9.
Given that,
Tables are given with two colors and 4 rows on each table,
The table is shown in the image, describes the relationship between x and y. Which table has a constant of proportionality between y and x of 0.9 is to be determined.
What is proportionality?
proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense that are they directly proportional or inversely proportional to each other.
Here, y is directly proportional to x
y ∝ x
y = kx
where k is proportionality constant
In table A and Table C, the value of the proportionality constant is not uniform throughout the table A and C
In Table B
k = y/x = 3.6/4 = 5.4/6 = 10.8/12 = 0.9
In table B, the constant of proportionality is uniform throughout table B.
Thus, the required table is table B which has a constant of proportionality between y and x of 0.9.