Question

Determine whether each table represents an inverse variation. Explain.

Short answer

A table does not represent an inverse variation.

Step-by-step solution

Step 1. Inverse variation.

$y$varies inversely as $x$if there is some nonzero constant $k$such that $xy=k$, where $x\ne 0$and $y\ne 0$.

Step 2. Find xy.

Find $xy$for each ordered pair.

$$\begin{gathered} 2\cdot 10=20 \\ 4\cdot 12=48 \\ 8\cdot 14=112 \end{gathered}$$

Step 3. Write the conclusion.

As $xy$is not constant, the table does not represent an inverse variation.