Write a recursive rule for the function.

f (x) = 80 (3/4) ^x

f (0) = 80 f (x) = (3/4) * f (x-1)

Step-by-step explanation:

The multiplier of 80 is the value of the function when x=0. For a recursive rule, an initial value is needed. Here, that value can be f (0) = 80.

The decay factor of 3/4 tells you that each successive term of the sequence will be 3/4 of the value of the one before. That is, f (x) = (3/4) * f (x - 1).

The entire recursive rule consists of a relation between terms and any initial conditions required:

f (0) = 80 f (x) = (3/4) * f (x-1)