Noah thinks that the size of the buffalo herd described below in 2023 is the same size as it was in 2021. In the space below, prove Noah is correct or convince Noah that he is incorrect.
A buffalo herd had 5,500 bison in 2021. Between 2021 and 2022, the herd of bison had a 10% increase in population. Between 2022 and 2023, the herd had a 10% decrease in population.
To determine if the size of the buffalo herd in 2023 is the same as it was in 2021, we need to calculate the population in 2023 and compare it to the population in 2021.
In 2021, the buffalo herd had 5,500 bison.
In 2022, the population increased by 10%. To calculate the increase, we multiply the population in 2021 by 1.10 (10% as a decimal): 5,500 * 1.10 = 6,050.
So, in 2022, the buffalo herd had 6,050 bison.
In 2023, the population decreased by 10%. To calculate the decrease, we multiply the population in 2022 by 0.90 (10% decrease as a decimal): 6,050 * 0.90 = 5,445.
Therefore, in 2023, the buffalo herd had 5,445 bison.
Comparing the population in 2023 (5,445) to the population in 2021 (5,500), we can see that there is a difference in size. The herd in 2023 is smaller than it was in 2021.
Based on this calculation, we can conclude that Noah is incorrect in thinking that the size of the buffalo herd in 2023 is the same as it was in 2021. The herd has actually decreased in size.