Direct and Inverse Proportions
When two quantities are in direct proportion (or directly proportional), they increase or decrease in the same ratio. If one quantity doubles, the other also doubles; if one is halved, the other is halved as well. Direct and inverse proportions are mathematical concepts used to describe the relationship between two variables. Understanding these relationships helps in solving real-world problems where quantities are interdependent.
- When two variables are in direct proportion, as one increases, the other increases at a constant rate. This relationship is often expressed as y = kx where y and x are the variables and k is a constant factor.
- In an inverse proportion, as one variable increases, the other decreases such that the product of the two variables is a constant. This is expressed as xy = k, where where y and x are the variables and k is a constant factor.
Direct and Inverse Proportions Definition
The proportion is said to be a direct proportion between two values when one is a multiple of the other while The value is said to be inversely proportional when one value increases, and the other decreases.
Direct and Inverse Proportions
Direct and Inverse Proportions is a mathematical concept which help us understanding how quantities are dependent on each other. Let’s say if you drive faster you will reach your destination in less time, similarly if a laborer works for more hours he will earn more.
Direct and Inverse Proportions
Here we see that speed and time are in opposite relation and hence are in inverse proportion while wage and working hours are in direct proportion. Direct and Inverse Proportion is a very important topic for class 8 to understand ratios and proportions.
Let’s understand in detail about Direct and Inverse Proportions definition, formula and properties.
Table of Content
- Direct and Inverse Proportions
- Direct and Inverse Proportions Definition
- Direct Proportion
- Direct Proportion Formula
- Examples of Direct Proportion
- Solved Examples on Direct Proportion
- Inverse Proportion
- Inverse Proportion Formula
- Examples of Inverse Proportion
- Difference between Direct and Inverse Proportions
- Solved Problems on Inverse Proportions
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