Question

x to f(x)

1 to 48
2 to 36
3 to 27
4 to 20.25

whats the function rule

Answer 1

Each value is 3/4 of the previous one, so f is a geometric sequence with first term 48 and ratio 3/4. The rule is

f(x) = 48*(3/4)^(x-1)

(For example f(2)=48*(3/4)=36, f(3)=48*(3/4)^2=27, f(4)=48*(3/4)^3=20.25.)