. The population of a certain country is declining at such a ratethat the population size is reduced in half every 6 years. If thepopulation is 20, 000 people today, determine the population 24years from now.10, 0002, 5001, 250625
Question
. The population of a certain country is declining at such a ratethat the population size is reduced in half every 6 years. If thepopulation is 20, 000 people today, determine the population 24years from now.10, 0002, 5001, 250625
Solution
The problem states that the population of a country is halved every 6 years. This means that every 6 years, the population is multiplied by 1/2.
Given that the current population is 20,000 and we want to find the population 24 years from now, we can divide 24 by 6 to find out how many 6-year periods are in 24 years.
24 ÷ 6 = 4
This means that the population will be halved 4 times.
- After 6 years (1st halving), the population will be 20,000 * 1/2 = 10,000
- After 12 years (2nd halving), the population will be 10,000 * 1/2 = 5,000
- After 18 years (3rd halving), the population will be 5,000 * 1/2 = 2,500
- After 24 years (4th halving), the population will be 2,500 * 1/2 = 1,250
So, the population 24 years from now will be 1,250 people.
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