Question

Describe the pattern in the table using an equation. please explain how you did it .

Answer 1

y = 10x + 5

The difference in the consecutive values of y is 10

That is 25 - 15 = 10 , 35 - 25 = 10 , 45 - 35 = 10

multiply the corresponding value of x by the difference and note what has to be added or subtracted from it to give y

x = 1 ⇒ y = (10 × 1 ) + ? = 15

x = 2 ⇒ y = (10 × 2 ) + ? = 25

x = 3 ⇒ y = (10 × 3 ) + ? = 35

x = 4 ⇒ y = (10 × 4 ) + ? = 45

In each case ? = 5

The required equation is y = 10x + 5