Identify the table that demonstrates a proportional relationship. (1 point)
x
y
8
2
12 3
40 4
x
y
10 2
15 3
40 8
x
y
42
9
3
16
4
x
y
O
2 10 5 20
6
30
The table that demonstrates a proportional relationship is:
x y
8 2
12 3
40 4
The table that demonstrates a proportional relationship is:
x | y
--------
8 | 2
12 | 3
40 | 4
In this table, as the value of x increases, the value of y also increases, and the ratio of y to x remains constant.
To identify the table that demonstrates a proportional relationship, we need to look for a pattern where x and y values increase or decrease in a consistent ratio.
Let's analyze each table:
Table 1:
x y
8 2
12 3
40 4
We can see that as x increases, y increases. However, the ratio between x and y is not consistent. For example, when x increases from 8 to 12, y increases from 2 to 3, but when x increases from 12 to 40, y only increases from 3 to 4.
Table 2:
x y
10 2
15 3
40 8
In this table, as x increases, y increases. Additionally, the ratio between x and y remains consistent. For example, when x increases from 10 to 15, y increases from 2 to 3, and when x increases from 15 to 40, y increases from 3 to 8. Therefore, we can conclude that Table 2 demonstrates a proportional relationship.
Table 3:
x y
42
9
3
16
4
Table 3 does not have consistent values for both x and y, and the relationship between them is not clear. Therefore, it does not demonstrate a proportional relationship.
Table 4:
x y
O
2
10
5
20
6
30
Table 4 also does not have consistent values for both x and y, and there is no clear relationship between them. Thus, it does not demonstrate a proportional relationship.
Therefore, the table that demonstrates a proportional relationship is Table 2.