Solve Ratio Problems with Proportions Quick Check2 of 5 2 of 5 ItemsQuestionWhich table represents a proportional relationship?(1 point)Responsesx y1 93 185 27x y 1 9 3 18 5 27x y0 01 32 5x y 0 0 1 3 2 5x y2 13 1.54 2x y 2 1 3 1.5 4 2x y0 5−1 5−2 5
The table that represents a proportional relationship is:
x y
0 0
1 3
2 6
3 9
4 12
The table that represents a proportional relationship is:
x y
1 9
3 18
5 27
To determine which table represents a proportional relationship, we need to check if the ratios between the x-values and the y-values are consistent across all values.
Let's analyze each table:
Table 1:
x y
1 9
3 18
5 27
To find the ratio between x and y for each row:
1/9 = 0.111
3/18 = 0.167
5/27 = 0.185
As we can see, the ratios are not consistent, so Table 1 does not represent a proportional relationship.
Table 2:
x y
1 9
3 18
5 27
To find the ratio between x and y for each row:
1/9 = 0.111
3/18 = 0.167
5/27 = 0.185
Again, the ratios are not consistent in Table 2, so it does not represent a proportional relationship.
Table 3:
x y
0 0
1 3
2 5
To find the ratio between x and y for each row:
0/0 = undefined
1/3 = 0.333
2/5 = 0.4
Once again, the ratios are not consistent in Table 3, so it does not represent a proportional relationship.
Table 4:
x y
2 1
3 1.5
4 2
To find the ratio between x and y for each row:
2/1 = 2
3/1.5 = 2
4/2 = 2
The ratios in Table 4 are consistent as they all equal 2. Therefore, Table 4 represents a proportional relationship.
Therefore, the correct answer is Table 4.