Question

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.

Answer 1

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

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

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

Next, to find the projected population in 2030, first determine how many years have passed since 1950. The year 2030 is 80 years after 1950:

\[ n = 2030 - 1950 = 80 \]

Now, substitute \( n = 80 \) into the function:

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

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.