Inverse Proportion Formula
In the above example, the number of persons engaged and the number of days are inversely proportional to each other. Symbolically, this is represented as
If x and y are in inverse proportion, then x ∝ (1 / y)
x = k/y ⇒ xy = k
Where, k is the constant of proportionality.
For two cases of each variable, let’s consider y1 and y2 are the values of y corresponding to the values of x1 and x2 of x respectively then
OR
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.
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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