Answer:
[tex]f(x)=120,000(1.05)^{x+16}[/tex]
Step-by-step explanation:
We are given,
The initial number of population = 120,000
Rate of growth = 5% = 0.05
Number of years = 16.
Thus, we get that the growth in population for 16 years is given by,
[tex]f(x)=120,000(1+0.05)^{16}[/tex]
i.e. [tex]f(x)=120,000(1.05)^{16}[/tex]
This gives us that the population after 16 years will be given by,
i.e. [tex]f(x)=120,000(1.05)^{x+16}[/tex].