Identify the table that demonstrates a proportional relationship, (1 point)
xy
10
2
15
3
40
8
xy
2
O
20
5
30
6
10
xy
8
O
12
40
x
4
y
2
93
16
4
3
2
4
The table that demonstrates a proportional relationship is the second table.
The table that demonstrates a proportional relationship is the one with xy values:
xy
10
2
15
3
40
8
In this table, as x increases, y also increases, and the ratio between x and y remains constant.
To identify the table that demonstrates a proportional relationship, we need to look for a pattern where one set of values (x) is multiplied by a constant factor to obtain the corresponding values in the other set (y).
Looking at the given tables:
Table 1:
x: 10, 15, 40
y: 2, 3, 8
Table 2:
x: 2, 5, 6
y: 20, 30, 10
Table 3:
x: 8, 12, 40
y: 4, 3, 2
From these tables, Table 1 demonstrates a proportional relationship because when we divide each corresponding y-value by its corresponding x-value, we get the same result. Let's calculate the ratios:
For Table 1:
2/10 = 0.2
3/15 = 0.2
8/40 = 0.2
All ratios are equal to 0.2 (1/5), indicating a constant factor of 0.2 multiplying x to obtain y.
Therefore, the table that demonstrates a proportional relationship is Table 1.