1.

In the figure, let x denotes the number of steps and y denotes the number of matchsticks used. Find the relationship between Y and y by tabulation.

Answer»

Let x denote the number of steps and y denote the number of matchsticks used. 

In step 1, x = 1 ⇒ y = number of mathsticks used is 1 

In step 2, x = 2 ⇒ y = number of mathsticks used is 4 

In step 3, x = 3 ⇒ y = number of mathsticks used is 7 and so on. 

The values of v and y are tabulated as 

x1234
y14710

x = 1 ⇒ y = 1 = 3(1) – 2 

x = 2 ⇒ y = 4 = 3(2) – 2 

x = 3 ⇒ y = 7 = 3(3) – 2 

x = 4 ⇒ y = 10 = 3(4) – 2 

From the table y = 3x – 2



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