Question

(0,0), (1,3), (2,12), (3,27), (4,48) - write a rule for y in terms of x.

A. y = x³
B. y = 3x
C. y = 4x³
D. y = 3x²

Answer 1

The rule for y in terms of x is y = x³.

Step-by-step explanation:

The given set of points {(0,0), (1,3), (2,12), (3,27), (4,48)} can be represented as the coordinates of a cubic function. To find the rule for y in terms of x, we can observe that the y-values are obtained by raising the x-values to the power of 3 and multiplying by a constant. Therefore, the rule for y in terms of x is:

y = x³