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

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.

1 answer

To find the town's population in 1950, we can plug \( n = 0 \) into the function \( f(n) = 495 + 44n \):

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

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

Next, to find the projected population in 2030, we first need to determine \( n \) for the year 2030. Since 2030 is 80 years after 1950, we set \( n = 80 \):

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

Therefore, 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.