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What is a proportional relationship in math?
The proportion helps us to find how one quantity varies with the other.
Answer: If one variable is always equal to a constant multiplied by the other variable(quantity), then we can say that those variables are in a proportional relationship.
Proportion is a mathematical comparison between two numbers. Let's understand the proportionality in detail.
Explanation:
Based on the type of relationship two or more quantities share, the proportion can be classified into different types. There are two types of proportions.

Direct Proportion relationship

This type describes the direct relationship between two quantities. In simple words, if one quantity increases, the other quantity also increases and viceversa.

For example, if the speed of a car is increased, it covers more distance in a fixed amount of time. In notation, the direct proportion is written as y ∝ x.

Denoted by y = kx where k is the constant of proportionality.


Inverse Proportion relationship

This type describes the indirect relationship between two quantities. In simple words, if one quantity increases, the other quantity decreases and viceversa.

It is represented as y ∝ 1/x. For example, increasing the speed of the car will result in covering a fixed distance in less time.

Denoted by y = k(1/x) or xy = k, where k is the constant of proportionality.

Similarly, We can apply the concepts of proportions to geography, comparing quantities in physics, dietetics, cooking, etc.
Thus, if one variable is always equal to a constant multiplied by the other variable(quantity), then we can say that those variables are in a proportional relationship.
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