Final answer:
An equation that shows inverse variation can be written in the form y = k/x, where k is a constant.
Step-by-step explanation:
An equation that shows inverse variation can be written in the form y = k/x, where k is a constant. In an inverse variation, as one variable increases, the other variable decreases and vice versa.
For example, if we have a table with values of x and y, and we observe that as x increases, y decreases, then we can say that y and x are inversely proportional. The equation that represents this inverse variation is y = k/x.
In the given table, check for values of x and y that have an inverse relationship, then you can write the equation using the equation y = k/x.