What is the formula to find the inverse of a proportion?

• A. K = xy
• B. K = x/y
• C. K = y/x
• D. K = x + y

Answer: (A)

To determine the inverse of a proportion, it is important to understand the relationship between two variables in a proportional context. When two quantities are inversely proportional, the product of those two quantities remains constant. This means that if one quantity increases, the other must decrease such that their product does not change.

In the context of the options provided, the correct formula to express this relationship is K = xy. Here, K represents the constant that is the product of x and y when two quantities are inversely proportional. By manipulating this relationship, you can see that if x increases, y must decrease to keep the value of K constant, and vice versa.

Understanding inverse proportions is crucial in a variety of mathematical and real-world applications, such as in situations involving rates and efficiencies where increasing one factor results in the decrease of another.