Question

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

If the product of two variables is a nonzero constant, the relationship is an inverse variation.

Short answer

The given statement is true.

Step-by-step solution

Step 1. State the concept of inverse variation.

If for some nonzero constant k$y=\frac{k}{x}$ or $xy=k$, where$x,y\ne 0$ then it is termed as inverse variation.

Step 2. Explanation of the statement.

Clearly, from the definition, it can be concluded that, the inverse relation is nothing but an equation which is expressed by the product of two variables which are non-zero constants.

Step 3. Write whether the statement is true or false.

The given statement “If the product of two variables is a nonzero constant, the relationship is an inverse variation.” is true.