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 [tex]\frac{1}{2}[/tex] with each x-values, we will obtain each y-value pair.
[tex]-2 \times \frac{1}{2}=-1 \\0 \times \frac{1}{2}=0\\2 \times \frac{1}{2} =1\\4 \times \frac{1}{2}=2[/tex]
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.
