Inversely Proportional Formula

About Inversely Proportional Formula

Inversely proportional means that the value of one item increases as the value of another decrease, or vice versa. In nature, the two quantities behave in opposite ways. For example, the relationship between speed and time is inverse. The time is shortened as the pace is increased. Inverse proportion, changing inversely, inverse variation, and reciprocal proportion are other synonyms for this type of percentage. Two inversely proportioned variables say x and y, are represented as;
- x ∝ 1/y or x ∝ y^-1
We learn about quantities in both mathematics and physics. Some quantities are proportionate to one another because they are dependent on one another. In other words, two variables are said to be proportional to each other if one is modified by a fixed amount while the other is not. Proportionality is the term for this feature of variables. The proportionality is represented by the symbol “∝”.
Variable proportionality can be divided into two categories. They are:
1. Directly Proportional
2. Inversely Proportional
These proportionalities were once referred to as two variables or quantities in direct proportion or inverse proportion.

Definition of Inversely Proportional
If and only if two variables are directly proportional to the reciprocal of each other, they are said to be inversely proportional. Alternatively, when two variables or quantities are in inverse proportion, their product equals a constant value. When one variable's value increases, the value of another variable decreases, and their product remains constant or unchanged.
Formula for Inversely Proportional
- If x and y are two inversely proportional quantities, then
- x ∝ 1/y
- x = k(1/y)
- Where "k" is a constant that is always positive.
- xy = k is another way to express it.
- If x and y are in inverse variation, and x has two values, x₁ and x₂, corresponding to y having two values, y₁ and y₂, then we get
- x₁y₁ = x₂ y₂ = (k)
- In this case, it becomes
- x₁ / x₂ = y₂ / y₁ = k

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