Pöörproportsiooni

Pöörproportsiooni, also known as inverse proportionality, is a mathematical relationship between two variables where their product remains constant. This means that as one variable increases, the other variable decreases by a proportional amount, such that their product always equals the same value. If we denote the two variables as x and y, and the constant product as k, then the relationship can be expressed as xy = k, or y = k/x.

In simpler terms, if you have two quantities that are inversely proportional, when one quantity doubles, the other quantity is halved. If one quantity triples, the other quantity becomes one-third of its original value. This is in contrast to direct proportionality, where two variables increase or decrease at the same rate.

An example of pöörproportsiooni can be seen in the relationship between speed and time when traveling a fixed distance. If the distance is constant, a higher speed will result in a shorter time taken to travel that distance, and a lower speed will result in a longer time. Specifically, if you double your speed, you halve the time taken.

Another common example involves the relationship between the number of workers and the time it takes to complete a task, assuming all workers work at the same rate. If you double the number of workers, the time required to complete the task will be halved. This concept is fundamental in various fields, including physics, economics, and everyday problem-solving.