Question

below is a model for the population, y, of a town after x years. what is the initial population count?
y = 21000 (1.05)^x
show your work here

Explanation:

Step1: Understand the model

The population model is $y = 21000(1.05)^x$, where $y$ is the population after $x$ years. The initial population occurs at $x = 0$.

Step2: Substitute \( x = 0 \)

Any non - zero number to the power of 0 is 1, so \( (1.05)^0=1 \). Then \( y = 21000\times1 \).

Answer:

21000