Inverse Proportions

Inverse proportion is the concept that if one quantity increases, then another quantity decreases at the same rate, and vice versa.

For example, If you have more people working on a task, it usually takes less time to finish. So, when there are more workers, the job gets done faster. This is what we call inverse proportion. In simpler terms, as the number of workers goes up, the time it takes to finish the task goes down.

Inverse Proportion can be expressed as:

y = k/x

Where:

• y is the dependent variable,
• x is the independent variable, and
• k is proportionality constant.

Inverse proportions, also known as inverse variation, is a fundamental concept in mathematics that demonstrates how two objects relate when one goes up and the other goes down, and vice versa. This is not limited to textbooks; it occurs in all aspects of our daily life. Let’s break it down with some real-world examples.