1. **State the problem:** We have a city population of 89,000 in 2010. From 2010 to 2015, the population grew by 6.8%. From 2015 to 2020, the population fell by 4.9%. We want to find the overall percent change from 2010 to 2020. 2. **Formula and rules:** To find the new population after a percent increase or decrease, use: $$\text{New Population} = \text{Original Population} \times (1 + \frac{\text{percent change}}{100})$$ For a decrease, the percent change is negative. 3. **Calculate population in 2015:** $$\text{Population}_{2015} = 89000 \times \left(1 + \frac{6.8}{100}\right) = 89000 \times 1.068 = 95052$$ 4. **Calculate population in 2020:** $$\text{Population}_{2020} = 95052 \times \left(1 - \frac{4.9}{100}\right) = 95052 \times 0.951 = 90374.652$$ 5. **Calculate overall percent change from 2010 to 2020:** $$\text{Percent Change} = \frac{\text{Population}_{2020} - \text{Population}_{2010}}{\text{Population}_{2010}} \times 100$$ $$= \frac{90374.652 - 89000}{89000} \times 100 = \frac{1374.652}{89000} \times 100 \approx 1.544\%$$ 6. **Final answer:** The city grew by approximately **1.54%** from 2010 to 2020. This means the population increased slightly overall despite the decrease from 2015 to 2020.