Question

In 2010, the population of a city was 59,000. From 2010 to 2015, the population grew by 8%. From 2015 to 2020, it fell by 4.2%. To the nearest 100 people, what was the population in 2020?

Answer 1

To find the population in 2020, calculate the population growth from 2010 to 2015 and the population decline from 2015 to 2020, and subtract the decline from the growth rate. The population in 2020, rounded to the nearest 100 people, is approximately 61,100.

Step-by-step explanation:

To find the population in 2020, we need to start with the population in 2010 and apply the growth and decline rates. Let's calculate:

Step 1: Calculate the population growth from 2010 to 2015:

• Population in 2015 = Population in 2010 + (Population in 2010 x Growth rate)
• Population in 2015 = 59,000 + (59,000 x 0.08)
• Population in 2015 = 59,000 + 4,720
• Population in 2015 = 63,720

Step 2: Calculate the population decline from 2015 to 2020:

• Population in 2020 = Population in 2015 - (Population in 2015 x Decline rate)
• Population in 2020 = 63,720 - (63,720 x 0.042)
• Population in 2020 = 63,720 - 2,677
• Population in 2020 ≈ 61,043

Therefore, the population in 2020, rounded to the nearest 100 people, is approximately 61,100.