Question

(0,0), (1,3), (2,12), (3,27), (4,48) write a rule for y = ?

A. y = 3x
B. y = 4x + 1
C. y = 2x^3
D. y = x^2 + 1

Answer 1

The rule for y is y = 3x.

Step-by-step explanation:

The given set of points represents a pattern where the y-values increase as the x-values increase. To determine the rule for y, we need to find the relationship between the x-values and the corresponding y-values.

Let's analyze the differences between successive y-values:

1st difference: 3-0 = 3

2nd difference: 12-3 = 9

3rd difference: 27-12 = 15

Each 2nd difference is 3 times the 1st difference.

So, the rule for y is y = 3x