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 10 2 15 3 40 8 x y 10 2 15 3 40 8 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 8 2 12 3 40 4x y 8 2 12 3 40 4
The table that demonstrates a proportional relationship is:
x y
10 2
15 3
40 8
The correct 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 determine if there is a constant ratio between the values of x and y.
In the first table, we observe that as x increases from 10 to 15, y increases from 2 to 3. Similarly, as x increases from 15 to 40, y increases from 3 to 8. Since the ratio between x and y is not constant (2:3 and 5:8), the first table does not demonstrate a proportional relationship.
In the second table, as x increases from 10 to 15, y increases from 2 to 3. Then, as x increases from 15 to 40, y increases from 3 to 8. Again, the ratio between x and y is not constant, so the second table does not demonstrate a proportional relationship.
In the third table, as x increases from 4 to 9, y increases from 2 to 3. Similarly, as x increases from 9 to 16, y increases from 3 to 4. In this table, the ratio between x and y is constant (2:1), so the third table demonstrates a proportional relationship.
In the fourth table, as x increases from 2 to 5, y increases from 10 to 20. Then, as x increases from 5 to 6, y increases from 20 to 30. Just like the previous tables, this table does not have a constant ratio between x and y, so it does not demonstrate a proportional relationship.
Finally, in the fifth table, as x increases from 8 to 12, y decreases from 2 to 3. Similarly, as x increases from 12 to 40, y decreases from 3 to 4. Once again, the ratio between x and y is not constant, so the fifth table does not demonstrate a proportional relationship.
Therefore, the table that demonstrates a proportional relationship is the third table: x y 4 2 9 3 16 4.