Question

In the year 2015, the population of bats was 300,000. The population is decreasing by 1/2 each year. In what year will the population be 3000?

Answer 1

The population of bats will be 3000 between the years 2021 and 2022.

Step-by-step explanation:

Step 1; It is given that the bats' population decreases to a half every year. So if there were 300,000 bats in 2015 there would be 150,000 bats in 2016. In the year 2017, there would be half of what there was in 2016 i.e. half of 150,000 bats. Similarly, we calculate the number of bats every year. If we reduce the bats' population to a half every year we get it as such

Bats in the year 2015 - 300,000

Bats in the year 2016 - 150,000

Bats in the year 2017 - 75,000

Bats in the year 2018 - 37,500

Bats in the year 2019 - 18,750

Bats in the year 2020 - 9,375

Bats in the year 2021 - 4,688

Bats in the year 2022 - 2,344

Step 2; We need to see the number of bats every year and check what year the population reached 3000. In the year 2021, there will be 4,688 and in the year 2022, there will be 2,344. So somewhere between the years of 2021 and 2022, the bats' population will reach 3,000.