Difference between Direct and Inverse Proportions
The key difference between direct and Inverse Proportions is as follows:
Property | Direct Proportion | Inverse Proportion |
|---|---|---|
| Relationship | When two variables change in the same direction | When two variables change in opposite directions |
| Formula | y = kx (where k is a constant) | y = k/x (where k is a constant) |
| Graph | A straight line passes through the origin (0,0) | A hyperbola |
| Example | The more hours you work, the more money you earn | The more people sharing a pizza, the smaller the slice each person gets |
| Symbol | ∝ (proportional to) E.g. a ∝ b | ∝ (inversely proportional to) E.g. a ∝ 1/b |
| Equation | y = kx | xy = k |
Note: In direct proportion, as one variable increases, the other variable increases proportionally. In inverse proportion, as one variable increases, the other variable decreases proportionally.
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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