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What is direct proportion?
What is direct proportion?
Direct proportion is a relationship between two quantities where they increase or decrease together at a constant ratio.
Give an example of direct proportion from the text.
Give an example of direct proportion from the text.
An example of direct proportion from the text is 'as the speed of a vehicle increases, the time taken to cover the same distance decreases.'
What is inverse proportion?
What is inverse proportion?
Inverse proportion is a relationship between two quantities where an increase in one quantity leads to a decrease in the other quantity at a constant ratio, and vice versa.
Provide an example of inverse proportion from the text.
Provide an example of inverse proportion from the text.
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How do we find out the quantity of each item needed by Mohan for making tea for five persons?
How do we find out the quantity of each item needed by Mohan for making tea for five persons?
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Study Notes
Direct Proportion
- Direct proportion occurs when two quantities increase or decrease together, maintaining a constant ratio.
- If one quantity doubles, the other also doubles, preserving the relationship.
Example of Direct Proportion
- An example is the relationship between the number of cups and the amount of tea needed. If 2 cups require 1 teaspoon of tea leaves, then 4 cups would require 2 teaspoons, illustrating direct proportion.
Inverse Proportion
- Inverse proportion arises when one quantity increases while the other decreases, leading to a constant product.
- As one quantity doubles, the other halves, ensuring the multiplication of both quantities remains steady.
Example of Inverse Proportion
- An example can be seen in the relationship between time taken and the number of workers. If 4 workers can complete a task in 6 hours, then 2 workers would take 12 hours, demonstrating inverse proportion.
Quantity Calculation for Tea
- To determine the quantity of tea for five persons, the amount of tea required per person must be identified.
- If the quantity for one person is established, multiply it by five to find the total needed.
- Example: If 1 person requires 1 teaspoon, then 5 persons would need 5 teaspoons of tea leaves.
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Description
Test your understanding of direct and inverse proportions with this quiz. Explore scenarios involving quantities of items required and time taken to complete a task in different situations.
