Question

(Proportional Relationships MC)

Determine if the table shows a proportional relationship.
x 25.6 72.8 77.2
y 6.4 18.2 19.3
1
OYes, it is proportional because all ratios are equivalent to
X
4
OYes, it is proportional because all ratios are equivalent to
X
O No, it is not proportional because
O No, it is not proportional because
25.6 18.2
6.4 72.8
#
18.2
72.2
72.8 19.3
#
-im
1
3

Answer 1

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.