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)

Question

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

Answer 1

To determine the town's population in 1950, we can look at the function \( f(n) = 495 + 44n \). In the year 1950, \( n = 0 \) (since 1950 is the starting point).

Calculating the population in 1950: \[ f(0) = 495 + 44 \times 0 = 495 \] Thus, the town’s population in 1950 was 495 people.

Next, we need to project the population in 2030. The year 2030 corresponds to \( n = 2030 - 1950 = 80 \).

Calculating the projected population in 2030: \[ f(80) = 495 + 44 \times 80 \] \[ f(80) = 495 + 3520 = 4015 \] 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.