Question

1. Which of the following are in inverse proportion
a. Number of workers on a job and time to complete the job.
b. Time taken for a fixed journey and speed of the vehicle.
c. Area of cultivated land and crop harvested.
d. The population of the country and area of land per person.​

Answer 1

Step-by-step explanation:

(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) Clearly, more is the population, less is the area of land per person in a country. 

So, it is a case of inverse proportion. 

Answer 2

Answer:

(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.

(v) Clearly, more is the population, less is the area of land per person in a country.

So, it is a case of inverse proportion.

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