1. **State the problem:** Determine if the statement "When the percent of change is a decrease, the original amount will be greater than the new amount" is true or false. 2. **Understand percent of change:** Percent of change is calculated by the formula: $$\text{Percent of Change} = \frac{\text{New Amount} - \text{Original Amount}}{\text{Original Amount}} \times 100\%$$ 3. **Interpret decrease:** A decrease means the new amount is less than the original amount, so: $$\text{New Amount} < \text{Original Amount}$$ 4. **Check the statement:** Since the new amount is less than the original amount during a decrease, the original amount is indeed greater than the new amount. 5. **Conclusion:** The statement is **true**. --- 1. **State the problem:** Can a percent of change be greater than 100%? 2. **Understand percent of change:** Using the same formula: $$\text{Percent of Change} = \frac{\text{New Amount} - \text{Original Amount}}{\text{Original Amount}} \times 100\%$$ 3. **Consider increase:** If the new amount is more than double the original amount, then: $$\text{New Amount} > 2 \times \text{Original Amount}$$ 4. **Calculate percent of change:** For example, if new amount is 3 times original amount: $$\frac{3 \times \text{Original Amount} - \text{Original Amount}}{\text{Original Amount}} \times 100\% = \frac{2 \times \text{Original Amount}}{\text{Original Amount}} \times 100\% = 200\%$$ 5. **Conclusion:** Yes, percent of change can be greater than 100% when the new amount is more than double the original amount. Final answers: - Statement about decrease: **True** - Percent of change greater than 100%: **Yes, it can be greater than 100%**