To find the town's population in 1950, we evaluate the function \( f(n) = 495 + 44n \) at \( n = 0 \) (which corresponds to the year 1950):
\[ f(0) = 495 + 44 \times 0 = 495 \]
So, the town’s population in 1950 was 495 people.
Next, to find the projected population in 2030, we need to determine how many years after 1950 that is. The year 2030 is 80 years after 1950 (2030 - 1950 = 80). We will evaluate \( f(n) \) at \( n = 80 \):
\[ f(80) = 495 + 44 \times 80 \]
Calculate \( 44 \times 80 \):
\[ 44 \times 80 = 3520 \]
Now substitute this back into the function:
\[ f(80) = 495 + 3520 = 4015 \]
Thus, the projected population in 2030 is 4015 people.
In summary:
- The town's population in 1950 was 495 people.
- The projected population in 2030 is 4015 people.