Question

Which table represents a direct variation function? A table with 6 columns and 2 rows. The first row, x, has the entries, negative 3, negative 1, 2, 5, 10. The second row, y, has the entries, negative 4.5, negative 3.0, negative 1.5, 0.0, 1.5. A table with 6 columns and 2 rows. The first row, x, has the entries, negative 5.5, negative 4.5, negative 3.5, negative 2.5, negative 1.5. The second row, y, has the entries, 10, 8, 6, 4, 2. A table with 6 columns and 2 rows. The first row, x, has the entries, negative 5.5, negative 5.5, negative 5.5, negative 5.5, negative 5.5. The second row, y, has the entries, negative 3, negative 1, 2, 5, 10. A table with 6 columns and 2 rows. The first row, x, has the entries, negative 3, negative 1, 2, 5, 10. The second row, y, has the entries, negative 7.5, negative 2.5, 5.0, 12.5, 25.0.

Answer 1

so D

Explanation:

Answer 2

The first table, which has x-values of -3, -1, 2, 5, and 10 and y-values of -4.5, -3.0, -1.5, 0.0, and 1.5, represents a direct variation function.

In a direct variation function, the ratio of the y-value to the corresponding x-value is always constant. This means that if you multiply any x-value by a certain number, the corresponding y-value will also be multiplied by that same number.

In the first table, this ratio is -1.5. For example, if you multiply the x-value -3 by 2, you get -6. If you multiply the corresponding y-value -4.5 by 2, you also get -9. This is true for all of the other x-values and y-values in the table.

The other three tables do not represent direct variation functions. In the second table, the ratio of the y-values to the x-values is not constant. In the third table, all of the x-values are the same, so there is no way to determine whether or not the table represents a direct variation function. In the fourth table, the ratio of the y-values to the x-values is not constant.

Therefore, the only table that represents a direct variation function is the first table.