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. 

 

B. 16,800

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