Examples of Direct Proportion
On the occasion of the School Anniversary, the Head Master of the school decided to take up a plantation of saplings. The number of students in each class is given below in the form of a table.
Class | VI | VII | VIII | IX | X |
---|---|---|---|---|---|
Number of Students | 7 | 10 | 11 | 14 | 17 |
Each student has to plant two saplings. Find the number of saplings needed for the plantation for each class.
Class | VI | VII | VIII | IX | X |
---|---|---|---|---|---|
Number of Students | 7 | 10 | 11 | 14 | 17 |
Number of Saplings required | 14 | 20 | 22 | 28 | 34 |
What can you say regarding the number of saplings required? What kind of change do you observe in the number of students and number of saplings required? Either both increase or decrease.
Now, let’s help our friend Geethika in finding the total number of cups of water required to cook 6 cups of rice. As mentioned earlier, Geethika uses 4 cups of water to cook 2 cups of rice.
Number of cups of rice | 2 | 6 |
---|---|---|
Number of cups of water | 4 | 12 |
Here, it can be observed that the number of cups of water required increases with an increase in the number of cups of rice.
In this case, 2 is the constant of proportion. Here, the two quantities number of cups of water and the number of cups of rice are said to be in direct proportion to each other i.e.,
Number of cups of water ∝ Number of cups of rice
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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