When two quantities are in inverse proportion, how do they behave?

When two quantities are in inverse proportion, they exhibit a specific relationship where one quantity increases while the other decreases. This relationship means that the product of the two quantities remains constant. For example, if you have two variables, ( x ) and ( y ), that are inversely proportional, an increase in ( x ) will lead to a decrease in ( y ) such that ( x \times y = k), where ( k ) is a constant.

This understanding is foundational in various mathematical and real-world contexts, such as physics and economics, where it might be essential to recognize how varying one aspect can affect another inversely. The inverse proportion highlights the delicate balance between the two quantities, emphasizing their dependence on each other while maintaining a consistent product.