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, es

Question

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, estimate the cities population in 2025.

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Julia 2 days 2021-10-14T10:40:58+00:00 1 Answer 0

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    2021-10-14T10:42:53+00:00

    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

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