The function f (x) = 16,800 (0.9) x represents the population of a town x years after it was established. What was the original population of the town?

A. 15,120

B. 16,800

C. 18,667

D. 13,608

I am guessing that the correct form of equation is:

f (x) = 16,800 (0.9) ^x

where x is the exponent of (0.9)

Since we are looking for the original population and x stand sfor the number of years, therefore x=0

substituting:

f (x) = 16,800 (0.9) ^0

Since (0.9) ^0 would just be equal to 1. Therefore the original population is 16,800.

Answer: B. 16,800