Question

Which of the following statement is an example of Inverse variation ?

Answer 1

Complete Question

Which of the following statements is an example of inverse variation?

(1) Number of workers on a job and time taken by them to complete the job.(2) Number of pipes of the same size to fill a tank and the time taken by them to fill the tank.

(3) Petrol filled in the tank of a vehicle and its cost

(4) Area of the circle and its radius.

The statements that are an example of inverse variation are 1 and 2.

• When a correlation exists among two variables it is called inverse variation. When one quantity rises, the other falls and the two quantities are said to be in inverse variation.
• In the first scenario, the amount of time it takes a worker to finish a task lowers as the number of employees on the task increases. It is therefore an inverse variation
• In the second instance, the time it takes to fill a tank reduces as the number of pipes of the same size grows. It is therefore an indirect variation
• In the third instance, if the amount of gasoline needed to fill a vehicle's tank increases, the price will likewise go up. It is therefore a direct variation
• In the fourth instance, if r is the radii of the circle, then area = πr². The area of a circle increases when radii of the circle increase. This signifies a direct variation.
• Thus, the statements that are an example of inverse variation are 1 and 2.

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