Answer:
The city's population in 2025 will be 78,465.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Initial population in 2016 = 79,318
Annual decreasing rate = 0.12% = 0.0012
2. Estimate the city's population in 2025.
Let's use the following formula for answering the question:
P(x) = P₀ * (1 - r)ˣ, where:
P (x) represents the population after x years after 2016
P₀ represents the initial population
r represents the annual decreasing rate
x represents the number of years after 2016
Replacing with the real values, we have:
x = 2025 - 2016
x = 9
P(x) = 79,318 * (1 - 0.0012)⁹
P(9) = 79,318 * (1 - 0.0012)⁹
P(9) = 79,318 * 0.9892517
P(9) = 78,465
The cities population in 2025 is 78,465.46.
Given that,
The Population of a city has been decreasing by 0.12% a year on average.
If this trend continues, and the population was 79,318 and 2016,
We have to find,
The cities population in 2025.
According to the question,
Initial population in 2016 = 79,318
Annual decreasing rate = 0.12% = 0.0012
The cities population in 2025 is determined by,
[tex]\rm P(x) = P_0 \times (1-r)^x[/tex]
Where P(x) represents the population after x years after 2016,
P₀ represents the initial population,
r represents the annual decreasing rate,
and x represents the number of years after 2016,
The number of years after 2016,
x = 2025 - 2016 = 9 years
Substitute all the values in the equation,
[tex]\rm P(x) = 79,318 \times (1-0.0012)^9\\\\\rm P(x) = 79,318 \times (0.9988)^9\\\\\rm P(x) = 79,318 \times 0.989\\\\ \rm P(x) = 78,465.46\\[/tex]
Hence, The cities population in 2025 is 78,465.46.
For more details refer to the link.
https://brainly.com/question/4216247
