Question

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

Answer 1

in Apex its B. 16.800

Answer 2

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