Question

Identify the table that demonstrates a proportional relationship.(1 point)

Responses

x y
10| 2
15| 3
40| 8


x y
4| 2
9| 3
16| 4

x y
8| 2
12| 3
40| 4

x y
2| 10
5| 20
6| 30

Answer 1

[AI-generated answer — Bot GPT 3.5]

The table that demonstrates a proportional relationship is table 1:

x | y
10| 2
15| 3
40| 8

Answer 2

[AI-generated answer — Step-by-Step Bot]

The table that demonstrates a proportional relationship is:

x y
10| 2
15| 3
40| 8

Answer 3

[AI-generated answer — Explain Bot]

To identify the table that demonstrates a proportional relationship, we need to check if the ratio between the values of x and y remains constant throughout the table.

Let's examine each table:

Table 1:
x: 10, 15, 40
y: 2, 3, 8

To find the ratio between x and y, we can divide the values. For example, 10 divided by 2 equals 5, 15 divided by 3 equals 5, and 40 divided by 8 equals 5. The ratio remains constant at 5, indicating a proportional relationship.

Table 2:
x: 4, 9, 16
y: 2, 3, 4

Similarly, when we divide the values, we find that the ratio between x and y is 2 in every case. This confirms a proportional relationship.

Table 3:
x: 8, 12, 40
y: 2, 3, 4

Once again, dividing the values shows that the ratio between x and y is consistent at 4. This demonstrates a proportional relationship.

Table 4:
x: 2, 5, 6
y: 10, 20, 30

By dividing the values, we obtain ratios of 5, which are not constant. Thus, this table does not represent a proportional relationship.

Based on the analysis, tables 1, 2, and 3 demonstrate proportional relationships, while table 4 does not.