What is the function rule for (1,6) (2,24) and (3,54) ?

First, find a pattern in the relationship between the two numbers in each set:

1*6 = 6, 1 + 5 = 6, 1^n*6 = 6

2*12 = 24, 2 + 22 = 24, 2^2*6, 2^3*3 = 24

3*18 = 54, 3 + 52 = 54, 3^2*6 = 54, 3^3*2 = 54

Sorting through the possible relationships reveals that in each case the first value in (x, y) relates to the second by the equation x^2*6 = y