1. The problem asks to find the decay factor given a population decrease of 3.2%. 2. The decay factor is calculated using the formula: $$\text{Decay Factor} = 1 - \text{Decay Rate}$$ where the decay rate is expressed as a decimal. 3. Convert the percentage decrease to a decimal: $$3.2\% = \frac{3.2}{100} = 0.032$$ 4. Substitute the decay rate into the formula: $$\text{Decay Factor} = 1 - 0.032$$ 5. Calculate the decay factor: $$\text{Decay Factor} = 0.968$$ 6. This means the population is 96.8% of what it was in 2010 after the decrease. Final answer: The decay factor is **0.968**.