Unit Rates & Proportions Unit Test
8 of 158 of 15 Items
Question
Identify the table that demonstrates a proportional relationship.(1 point)
Responses
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 30x y 2 10 5 20 6 30
x y
10 2
15 3
40 8
x y 10 2 15 3 40 8
The table that demonstrates a proportional relationship is:
x y
8 2
12 3
40 4
To identify the table that demonstrates a proportional relationship, we need to check if the ratio between the x and y values is the same for all the corresponding pairs.
Let's examine each table:
Table 1:
x y
8 2
12 3
40 4
To find the ratio, we divide y by x for each corresponding pair:
2/8 = 0.25
3/12 = 0.25
4/40 = 0.1
The ratios are NOT the same for all the pairs, so this table does not demonstrate a proportional relationship.
Table 2:
x y
4 2
9 3
16 4
2/4 = 0.5
3/9 = 0.33
4/16 = 0.25
The ratios are NOT the same for all the pairs, so this table does not demonstrate a proportional relationship.
Table 3:
x y
2 10
5 20
6 30
10/2 = 5
20/5 = 4
30/6 = 5
The ratios ARE the same for all the pairs, so this table demonstrates a proportional relationship.
Table 4:
x y
10 2
15 3
40 8
2/10 = 0.2
3/15 = 0.2
8/40 = 0.2
The ratios ARE the same for all the pairs, so this table demonstrates a proportional relationship.
Therefore, the table that demonstrates a proportional relationship is:
x y
2 10
5 20
6 30
To identify the table that demonstrates a proportional relationship, you need to look for a pattern where the ratio between the x and y values remains constant.
Let's analyze each table:
Table 1:
x | y
8 | 2
12 | 3
40 | 4
To check if it demonstrates a proportional relationship, we need to calculate the ratios:
8/2 = 4/1
12/3 = 4/1
40/4 = 10/1
Since all the ratios are equal to 4/1, Table 1 demonstrates a proportional relationship.
Table 2:
x | y
4 | 2
9 | 3
16 | 4
Calculating the ratios:
4/2 = 2/1
9/3 = 3/1
16/4 = 4/1
Again, all the ratios are equal to 2/1, so Table 2 demonstrates a proportional relationship.
Table 3:
x | y
2 | 10
5 | 20
6 | 30
Calculating the ratios:
2/10 = 1/5
5/20 = 1/4
6/30 = 1/5
The ratios in Table 3 are not equal, so it does not demonstrate a proportional relationship.
Table 4:
x | y
10 | 2
15 | 3
40 | 8
Calculating the ratios:
10/2 = 5/1
15/3 = 5/1
40/8 = 5/1
All the ratios in Table 4 are equal, so it demonstrates a proportional relationship.
Therefore, Tables 1 and 2 demonstrate proportional relationships.