Final answer:
From 2015 to 2020, the population of the city decreased by approximately 3,800 people when rounded to the nearest 100.
Step-by-step explanation:
The question asks how much the population of a city decreased from 2015 to 2020 after it had initially grown by 6.7% from 2010 to 2015. The original population in 2010 was 82,000. To find the population in 2015, we calculate the growth using the percentage increase:
Population in 2015 = 82,000 + (6.7% of 82,000)
Population in 2015 = 82,000 + (0.067 × 82,000)
Population in 2015 = 82,000 + 5,494 = 87,494 (rounded to nearest whole number)
Next, we calculate the decrease from 2015 to 2020 using the 4.3% decrease:
Decrease = 4.3% of 87,494
Decrease = 0.043 × 87,494
Decrease = 3,762.042 (rounded to nearest whole number)
The population decreased by approximately 3,762 people from 2015 to 2020. To give the answer to the nearest 100, we round this number:
Population decrease (rounded) = 3,800