Question

Which table of ordered pairs represents a proportional relationship? A 2-column table with 3 rows. Column 1 is labeled x with entries 4, 7, 10. Column 2 is labeled y with entries 8, 11, 14. A 2-column table with 3 rows. Column 1 is labeled x with entries 5, 7, 9. Column 2 is labeled y with entries 25, 49, 81. A 2-column table with 3 rows. Column 1 is labeled x with entries 6, 10, 14. Column 2 is labeled y with entries 3, 5, 7. A 2-column table with 3 rows. Column 1 is labeled x with entries 3, 8, 13. Column 2 is labeled y with entries 6, 11, 18.

Answer 1

Answer:

the answer is b-

Step-by-step explanation:

did the work-

Answer 2

Answer:

The table of ordered pair that represents a proportional relationship is;

Column 1 is labeled x with entries 6, 10, 14. Column 2 is labeled y with entries 3, 5, 7

Step-by-step explanation:

We note that a proportional relationship is a relationship between two variables, x and y where the ratios of the variables are equal

Among the options we have;

1) x column is 4, 7, 10 y-column is 8, 11, 14

The relationship here is y = x + 4 which is not a proportional relationship as for consecutive terms, we have;

8/4 ≠ 11/7 ≠ 10/14

2) x column is 5, 7, 9 y-column is 25, 49, 81

The relationship here is y = x² which is not a proportional relationship as for consecutive terms, we have;

25/5 ≠ 49/7 ≠ 81/9

3) x column is 6, 10, 14 y-column is 3, 5, 7

The relationship here is y = (1/2)×x which is a proportional relationship as for consecutive terms, we have;

3/6 = 5/10 = 7/10 = 1/2

4) x column is 3, 8, 13 y-column is 6, 11, 18

We check for proportionality as follows;

6/3 ≠ 11/8 ≠ 18/13

Which is not a proportional relationship.