Let's round each day's distance to the nearest whole kilometer:
- Monday: 3.6 km rounds to 4 km.
- Tuesday: 4.705 km rounds to 5 km.
- Wednesday: 5.92 km rounds to 6 km.
Now, add the rounded distances together:
\[ 4 \text{ km (Monday)} + 5 \text{ km (Tuesday)} + 6 \text{ km (Wednesday)} = 15 \text{ km} \]
To determine if Andrea's sum is reasonable, we can compare the total of her original distances:
\[ 3.6 + 4.705 + 5.92 = 14.225 \text{ km} \]
Now, rounding this sum to the nearest whole kilometer: 14.225 rounds to 14 km.
Conclusion:
The total rounded distance for the original distances was approximately 14 km, while the total based on rounded daily distances was 15 km. They are close, but not exactly the same. Therefore, while the sum is somewhat reasonable, it's important to note that it does slightly differ when looking at the original values versus the rounded totals.