Question

Exercise 9.2
1. Which of the following are in inverse variation?
(1) Number of students in a hostel and consumption of food.
(ii) Time taken by a train to cover a fixed distance and the speed of the
(iii) Area of land and its cost.
(iv) The number of people working and the time to complete the work
(v) The quantity of rice and its cost.​

Answer 1

Answer:

let's understand with some examples

(i) The number of workers on a job and the time to complete the job.

(ii) The time taken for a journey and the distance travelled in a uniform speed.  

(iii) Area of cultivated land and the crop harvested.  

(iv) The time taken for a fixed journey and the speed of the vehicle.  

(i) We know that more is the number of workers to do a job, less is the time taken to finish the job.

So, it is a case of inverse proportion.

(ii) Considering uniform speed, as the distance to be travelled increases, the time taken to cover it will also increase.  

So, this is a case of direct variation.  

(iii) Clearly, more is the area of cultivated land, more is the crop harvested.  

So, it is a case of direct proportion.  

(iv) We know that the more will be the speed of the vehicle, the distance will be covered in lesser time.

So, it is a case of inverse proportion.  

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Step-by-step explanation: