1. **State the problem:** The water level in a well was initially 65 meters below the ground surface. After 5 days of rain, it rose to 30 meters below the ground surface. We need to find the average change in the water level per day. 2. **Identify initial and final positions:** - Initial water level: $-65$ meters (below ground, so negative) - Final water level: $-30$ meters 3. **Calculate the total change in water level:** $$\text{Change} = \text{Final level} - \text{Initial level} = (-30) - (-65) = -30 + 65 = 35$$ meters 4. **Calculate the average change per day:** $$\text{Average change per day} = \frac{\text{Total change}}{\text{Number of days}} = \frac{35}{5} = 7$$ meters per day 5. **Interpretation:** The water level rose by an average of 7 meters each day over the 5 days. **Final answer:** The average change in the water well's level per day is $7$ meters.