Question

Which table shows a proportional relationship between x and y?

A.
B.
C
D.
x
-4.5
3
2.5
10
V
-8.5
-4
12.5
35
X
-4.5
3
6
10.5
Y
1.5
-1
-3.5
X
- 3
- 1.5
4
7.5
Y
14
<-9.5
7
17.5
X
3
у
-4
-1.5-4.5
3
4.5
6
-6.5
-

Answer 1

Answer: None of the given tables show a proportional relationship between x and y.

Step-by-step explanation: To determine which table shows a proportional relationship between x and y, we need to check if the ratio between the corresponding values of x and y remains constant.

Let's evaluate each table:

A:

x: -4.5, 3, 2.5, 10

y: -8.5, -4, 12.5, 35

The ratio between x and y is not constant, so this table does not show a proportional relationship.

B:

x: -4.5, 3, 6, 10.5

y: 1.5, -1, -3.5, X

Since the value of y is missing for one of the x-values, we cannot determine if the ratio remains constant. Therefore, this table does not show a proportional relationship.

C:

x: 3, у, -4, -1.5-4.5

y: 3, 4.5, 6, -6.5

The ratio between x and y is not constant, so this table does not show a proportional relationship.

D:

x: 3, 4.5, 6, -6.5

y: 14, <-9.5, 7, 17.5

The ratio between x and y is not constant, so this table does not show a proportional relationship.