Question

The population of a town is 25,000 people in the year 2000. If the population is decreasing at a rate of 4% per year, how many people will there be in 2040?

Option 1: Initial population
Option 2: Rate of decrease
Option 3: Final year
Option 4: Projected population in 2040

Answer 1

To find the projected population in 2040, we can use the formula Projected Population = Initial Population * (1 - Rate of Decrease)^(Final Year - Initial Year). Substituting the given values, we can find that the projected population in 2040 is approximately 16,707 people.

Step-by-step explanation:

To find the projected population in 2040, we need to calculate the population each year from 2000 to 2040 using the given rate of decrease. We can use the formula:
Projected Population = Initial Population * (1 - Rate of Decrease)(Final Year - Initial Year)
Substituting the values, we get:
Projected Population in 2040 = 25,000 * (1 - 0.04)(2040 - 2000)

Simplifying the expression, we get:
Projected Population in 2040 = 25,000 * (0.96)40
Calculating this expression gives us a projected population of approximately 16,707 people in 2040.