Kaudproportsioon

Kaudproportsioon, also known as inverse proportion, is a mathematical relationship between two quantities where an increase in one quantity leads to a proportional decrease in the other, and vice-versa. This means that the product of the two quantities remains constant. If we have two variables, say 'x' and 'y', they are in kaudproportsioon if their product xy = k, where 'k' is a non-zero constant.

This concept is frequently encountered in various scientific and practical applications. For example, if a fixed amount of work needs to be completed, the time required to finish the task is in kaudproportsioon with the number of workers assigned. More workers mean less time, and fewer workers mean more time. Similarly, in physics, at a constant temperature, the volume of a gas is in kaudproportsioon with its pressure, as described by Boyle's Law.

Graphically, the relationship of kaudproportsioon is represented by a hyperbola. As one variable approaches infinity, the other approaches zero, and vice-versa, while their product always equals the constant 'k'. Understanding kaudproportsioon is crucial for solving problems involving rates, ratios, and scaling in diverse fields.