Question
In 2010, the population of a city was 120,000. From 2010 to 2015, the population grew by 7%. From 2015 to 2020, it fell by 3%. How much did the population grow from 2010 to 2015, to the nearest 100 people?
Answers
GPT-4o mini
To calculate the population growth from 2010 to 2015, we need to find 7% of the 2010 population and then add that to the original population.
1. **Calculate 7% of the 2010 population**:
\[
\text{Population in 2010} = 120,000
\]
\[
\text{Growth} = 0.07 \times 120,000 = 8,400
\]
2. **Add the growth to the original population**:
\[
\text{Population in 2015} = 120,000 + 8,400 = 128,400
\]
3. **Find the population growth**:
The population growth from 2010 to 2015 was 8,400.
To the nearest 100 people, the population grew by:
\[
\boxed{8400}
\]
1. **Calculate 7% of the 2010 population**:
\[
\text{Population in 2010} = 120,000
\]
\[
\text{Growth} = 0.07 \times 120,000 = 8,400
\]
2. **Add the growth to the original population**:
\[
\text{Population in 2015} = 120,000 + 8,400 = 128,400
\]
3. **Find the population growth**:
The population growth from 2010 to 2015 was 8,400.
To the nearest 100 people, the population grew by:
\[
\boxed{8400}
\]