Question

In 2017, the population of a city was 450,000 people. The population increased 10% in 2018. And then in 2019, the population increased 10% again. What was the city's population at the end of
2019?

Answer 1

To calculate the population of the city at the end of 2019 after the two consecutive 10% increases, we can follow these steps:

1. **Calculate the population at the end of 2018:**
- The initial population in 2017 was 450,000.
- The increase in 2018 was 10% of 450,000:
\[
\text{Increase} = 450,000 \times 0.10 = 45,000
\]
- Thus, the population at the end of 2018 is:
\[
\text{Population}_{2018} = 450,000 + 45,000 = 495,000
\]

2. **Calculate the population at the end of 2019:**
- Now, we apply a 10% increase to the population of 495,000:
\[
\text{Increase} = 495,000 \times 0.10 = 49,500
\]
- Therefore, the population at the end of 2019 is:
\[
\text{Population}_{2019} = 495,000 + 49,500 = 544,500
\]

Thus, the city's population at the end of 2019 was **544,500 people**.