What is Direct Proportion?
Direct proportion or direct variation is a mathematical relationship between two variables where they change in such a way that an increase in one variable leads to a corresponding increase in the other, and a decrease in one variable leads to a corresponding decrease in the other. In other words, if two quantities are in direct proportion, when one quantity doubles, the other also doubles, and when one quantity is halved, the other is also halved.
Direct Proportion Meaning
In Direct Proportion between two variables, an increase in one variable results in a proportional increase in the other variable. For example, if you have a situation where the number of hours worked is directly proportional to the amount earned, and you earn Rs. 100 for every hour worked, the equation representing this direct proportion would be:
Earnings (y) = 100 × Hours Worked (x)
This means that for every additional hour worked (increase in “x”), you will earn an additional Rs. 100 (increase in “y”).
Direct Proportion Definition
Two Quantities are said to be in direct proportion or direct variation if whenever the value of x increases (or decreases), then the value of y increases (or decreases) in such a way that the ratio x/y remains constant.
Direct Proportion in Mathematics
Direct Proportion, also known as direct variation, describes the direct relationship between two variables. In this direct relationship, when one variable increases in value, the other variable also increases, and conversely, when one variable decreases, the other variable decreases as well. This means that as one variable goes up or down, the other follows suit, maintaining a consistent and proportional change.
In simple words, Direct Proportion is the relation between two quantities where the ratio of the two is equal to a constant value. Direct Proportion is represented by a proportional Symbol i.e.,∝. In this article, we are going to learn direct proportion or direct variation in detail. It is an important concept of mathematics.
Table of Content
- What is Direct Proportion?
- Direct Proportion Symbol
- Example of Direct Proportion
- Direct Proportion Formula
- Direct Proportion Graph
- Direct and Inverse Proportion
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