Proportional relationship for the given table is true and is define as Yes, it is proportional because all y over x ratio are equivalent to one fourth.
As given in the question,
Value of x and y in the given table are :
x : 25. 6, 72. 8, 77. 2
y : 6. 4, 18. 2, 19. 3
The table shows a proportional relationship. Here's why:
A proportional relationship exists when the ratio of corresponding terms between two sets of data is constant.
In this table, the first two sets of data (25.6/6.4 and 72.8/18.2) have a ratio of 4:1.
The third set of data (77.2/19.3) also has a ratio of 4:1.
Therefore, all ratios of corresponding terms are equivalent, indicating a proportional relationship.
Here's a breakdown of the ratios:
25.6 / 6.4 = 4
72.8 / 18.2 = 4
77.2 / 19.3 = 4
Since every ratio is equal to 4, the table demonstrates a proportional relationship.
Therefore, in the table first option: yes, it is proportional because all y over x ratio are equivalent to one fourth is correct.