1. **State the problem:** We need to identify which scenarios can be expressed by the division $$-20.4 \div (-6.5)$$. 2. **Understand the division:** Dividing a total change by a rate or unit change gives the number of units (e.g., hours, months) it took for that change. 3. **Analyze each scenario:** - Scenario A: Total temperature decrease is -20.4 degrees, hourly decrease is -6.5 degrees. Dividing total decrease by hourly decrease gives hours: $$\frac{-20.4}{-6.5}$$. This matches the expression. - Scenario B: Total decrease is -20.4 degrees over 6.5 hours. To find decrease per hour, divide total by time: $$\frac{-20.4}{6.5}$$, which is not the same as dividing by -6.5. - Scenario C: Total weight change is -20.4 kg, losing 6.5 kg per month. Number of months is total change divided by monthly loss: $$\frac{-20.4}{-6.5}$$, matching the expression. - Scenario D: John's hike took 6.5 days to reach -20.4 km altitude. To find distance per day, divide total distance by days: $$\frac{-20.4}{6.5}$$, not dividing by -6.5. 4. **Conclusion:** Scenarios A and C can be expressed by $$-20.4 \div (-6.5)$$. 5. **Calculate the value:** $$-20.4 \div (-6.5) = \frac{-20.4}{-6.5} = 3.138461538... \approx 3.14$$ This means it took approximately 3.14 hours or months respectively. **Final answer:** Scenarios A and C apply.