Question

The table describes the coordinates of several points on a graph. They form a proportion.

Answer 1

B the numerous in x the column increase

Answer 2

Answer:

D. Every number in the x column can be multiplied by the same value to get the number in the y column.

Step-by-step explanation:

A proportion is the equivalence betweent two rations.

In this case, if the table shows a proportion between variables, they must have a constant ratio of change. In other words, both variables must have a ratio that is constant to each pair. To know if such constant ratio exists, we just have to divide.

However, it's easier if we multiply a factor to x-values to obtain y-values. You can observe that if we multiply $\frac{1}{2}$ with each x-values, we will obtain each y-value pair.

$-2 \times \frac{1}{2}=-1 \\0 \times \frac{1}{2}=0\\2 \times \frac{1}{2} =1\\4 \times \frac{1}{2}=2$

You can see that if we multiply the same number, we obtain the y-column, that meanst 1/2 is the ratio that relates this variable.

Therefore, the right answer is D.

When we have to variables related by a specific proportion, one of them can increase by a constant amount, but that not necessarily ensure that there is a proportion. It must exist a constant ratio to call that a proportion.