U. S. Population can be modeled by the function f (x) = 165.6x^1.345, where f (x) is in thousand and x is the number of year after 1800. What is f (50) and what does it mean?

f (50) = 31928.24 thousands

Therefore, it means that the US population in year 1850 is 31928.24 thousands

Step-by-step explanation:

Given the function;

f (x) = 165.6x^1.345

Where;

f (x) is in thousand and

x is the number of year after 1800

To determine f (50), we will substitute x = 50 into the function of f (x);

f (50) = 165.6 (50) ^1.345

f (50) = 31928.24 thousands

Since f (50) is the US population in year 1800+50 = 1850

Therefore, the US population in year 1850 is 31928.24 thousands