Which table shows a proportional relationship between x and y?
A.
x y
10 5
18 9
20 15
24 14
B.
x y
7 6
10 9
24 23
28 27
C. x y
7 33
10 48
19 93
23 113
D. x y
2 1
6 3
20 10
28 14
What is the answer a, b, c or d
The answer is A.
The table that shows a proportional relationship between x and y is option D.
x y
2 1
6 3
20 10
28 14
To determine which table shows a proportional relationship between x and y, we need to check if the ratio between the values of x and the values of y are constant or consistent for each row.
Looking at the options:
A. x y
10 5
18 9
20 15
24 14
To check if it's proportional, we divide y by x for each row:
5/10 = 0.5
9/18 = 0.5
15/20 = 0.75
14/24 = 0.58
The ratio between y and x is not constant, so this is not a proportional relationship.
B. x y
7 6
10 9
24 23
28 27
Let's check the ratio for each row:
6/7 ≈ 0.857
9/10 = 0.9
23/24 = 0.958
27/28 ≈ 0.964
The ratio between y and x is not constant, so this is not a proportional relationship.
C. x y
7 33
10 48
19 93
23 113
Dividing y by x for each row:
33/7 ≈ 4.714
48/10 = 4.8
93/19 ≈ 4.895
113/23 ≈ 4.913
The ratio between y and x is not constant, so this is not a proportional relationship.
D. x y
2 1
6 3
20 10
28 14
Calculating the ratio for each row:
1/2 = 0.5
3/6 = 0.5
10/20 = 0.5
14/28 = 0.5
The ratio between y and x is constant for each row (0.5), so this is a proportional relationship.
Therefore, the answer is D. The table that shows a proportional relationship between x and y is D.