Direct and Inverse Proportions Quiz

Direct proportion refers to a situation in which two quantities change in the same direction, meaning that as one quantity increases, the other also increases, and vice versa. Inverse proportion, on the other hand, refers to a situation in which two quantities change in opposite directions, meaning that as one quantity increases, the other decreases, and vice versa. An example of direct proportion from the text is the increase in the number of articles purchased leading to an increase in the total cost. An example of inverse proportion from the text is the increase in the speed of a vehicle leading to a decrease in the time taken to cover the same distance.

The concept of direct proportion can be applied to Mohan's tea preparation by understanding that as the quantity of tea to be made increases (for five persons instead of just Mohan and his sister), the quantities of water, sugar, tea leaves, and milk also need to increase in direct proportion. This means that the quantity of each item needed will be directly proportional to the number of persons for whom the tea is being prepared.

1. Increase in the number of articles purchased leads to an increase in the total cost.
2. More money deposited in a bank leads to more interest earned.
3. Increase in the speed of a vehicle leads to a decrease in the time taken to cover the same distance.
4. More workers for a given job lead to less time taken to complete the work.
5. Increase in the quantity of ingredients leads to an increase in the quantity of tea prepared.

<p>If the cost of 1 kg of sugar is <code>36, then the cost of 3 kg of sugar can be calculated using the concept of direct proportion. Since the cost increases in direct proportion to the quantity, the cost of 3 kg of sugar would be 3 times the cost of 1 kg, which is</code> 108.</p> Signup and view all the answers

<p>The concept of inverse proportion can be applied to the time taken to arrange chairs for an assembly by understanding that as the number of students arranging chairs increases, the time taken to complete the job decreases in inverse proportion. Therefore, if two students take 20 minutes, then five students would take less time, demonstrating the inverse proportionality between the number of students and the time taken.</p> Signup and view all the answers