A small town started to track its population in the year 1950. Each year that passed, the town’s population increased by 44. The function f(n)=495+44n

Question

represents the town population n years after 1950. What was the town’s population in 1950? What is the projected population in 2030?(1 point)
The town’s population in 1950 was
people. The projected population in 2030 is
people.

Answer 1

To find the town's population in 1950, we can evaluate the function \( f(n) \) at \( n = 0 \) because 1950 is the starting year.

\[ f(0) = 495 + 44(0) = 495 \]

So, the town’s population in 1950 was 495 people.

Next, to find the projected population in 2030, we first determine how many years after 1950 it is. The year 2030 is 80 years after 1950 (2030 - 1950 = 80), so we evaluate the function at \( n = 80 \):

\[ f(80) = 495 + 44(80) \] \[ = 495 + 3520 \] \[ = 4015 \]

Thus, the projected population in 2030 is 4015 people.

To summarize:

• The town’s population in 1950 was 495 people.
• The projected population in 2030 is 4015 people.