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Answer :
To calculate the population of Viper, KY in 2022 with an annual growth of 13% from a 2018 population of 6,940, we apply the formula for exponential growth over 4 years, resulting in an estimated population of approximately 12,101.
The question asks to calculate the population of Viper, KY in 2022 given that it is increasing by 13% each year and the population was 6,940 in 2018. To find the population in 2022, we will use the formula for exponential growth: Population = Initial Population × (1 + Growth Rate)^Number of Years. The growth rate here is 13%, or 0.13 when converted to a decimal, and the number of years from 2018 to 2022 is 4.
Applying the formula, we get:
Population in 2022 = 6,940 × (1 + 0.13)⁴
Population in 2022 = 6,940 × (1.13)⁴
Population in 2022 = 6,940 × 1.74385
Population in 2022 ≈ 12,101 (rounded to the nearest whole number)
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Final answer:
The population of Viper, KY is increasing by 13% each year. The population in 2022 will be approximately 9,546.
Explanation:
The population of Viper, KY is increasing by 13% each year. In 2018, the population was 6,940.
To find the population in 2022, we can use the formula:
- Start with the initial population: 6,940.
- Calculate the population increase for each year: 6,940 * 0.13 = 901.2.
- For four years, add this increase to the previous population: 6,940 + 901.2 + 901.2 + 901.2 + 901.2 = 9,545.8.
Therefore, the population of Viper, KY in 2022 will be approximately 9,546.
Learn more about population growth here:
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