Observe the following pattern, identify the variable and write the general rule that gives the number of legs in terms of the number of ducks.

Number of ducks	1	2	3	4	....	n
Total number of legs	2	4	6	8	....	....

Given :

The number of legs is 2 when the number of ducks is 1.

The number of legs is 4 when the number of ducks is 2.

The number of legs is 6 when the number of ducks is 3.

The number of legs is 8 when the number of ducks is 4.

To do :

We have to write a general rule that gives the number of legs in terms of the number of ducks. 

Solution :

Let the variable of the equation be x.

This implies,

$2=x(1)$

$x=2$

If the number of ducks is y and the number of legs is given by z, then the relation between them is given by,

$z=x(y)$

Therefore, $z=2y$ is the required equation.

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Updated on: 10-Oct-2022

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