dentify the table that demonstrates a proportional relationship.(1 point) Responses x y 10 2 15 3 40 8 x y 10 2 15 3 40 8 x y 8 2 12 3 40 4x y 8 2 12 3 40 4 x y 4 2 9 3 16 4x y 4 2 9 3 16 4 x y 2 10 5 20 6 30
The table that demonstrates a proportional relationship is:
x y
10 2
15 3
40 8
The table that demonstrates a proportional relationship is:
x | y
---------
10 | 2
15 | 3
40 | 8
To identify the table that demonstrates a proportional relationship, we need to check if there is a constant ratio between the x-values and the y-values throughout the table.
Let's check each table:
Table 1:
x | y
10 | 2
15 | 3
40 | 8
To check if it demonstrates a proportional relationship, we need to see if the ratio y/x is the same for all corresponding pairs of x and y values.
For the first pair (10, 2), the ratio is 2/10 = 0.2.
For the second pair (15, 3), the ratio is 3/15 = 0.2.
For the third pair (40, 8), the ratio is 8/40 = 0.2.
Since the ratio y/x is the same (0.2) for all pairs in Table 1, we can conclude that it demonstrates a proportional relationship.
Thus, the answer is Table 1:
x | y
10 | 2
15 | 3
40 | 8