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 determine the population of the town in 1950, we can use the function \( f(n) = 495 + 44n \).

In 1950, \( n = 0 \) (since it is the starting point for counting years).

Calculating the population in 1950:

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

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

Now, to find the projected population in 2030, we first need to determine how many years have passed since 1950. From 1950 to 2030 is 80 years, so \( n = 80 \).

Calculating the projected population in 2030:

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

So, the projected population in 2030 is 4015 people.

Therefore:

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