To find the total distance walked by the group around Lake E, we first need to round the actual distances for all lakes to the nearest whole number.
Here is the rounding process for each lake:
- Lake A: 6.51 miles — The digit after the decimal is 5, so we round up to 7 miles.
- Lake B: 8.74 miles — The digit after the decimal is 7, so we round down to 9 miles.
- Lake C: 21.25 miles — The digit after the decimal is 2, so we round down to 21 miles.
- Lake D: 18.68 miles — The digit after the decimal is 6, so we round up to 19 miles.
- Lake E: 15.33 miles — The digit after the decimal is 3, so we round down to 15 miles.
Now we can summarize the rounded distances:
- Lake A: 7 miles
- Lake B: 9 miles
- Lake C: 21 miles
- Lake D: 19 miles
- Lake E: 15 miles
So, the rounded distances to the nearest whole number are:
- Lake A: 7
- Lake B: 9
- Lake C: 21
- Lake D: 19
- Lake E: 15
Now, let’s calculate the total distance walked by the group around Lake E if the distance walked by each of the 108 people is equal to the rounded distance for Lake E:
Total distance walked by the group around Lake E: \[ 15 \text{ miles} \times 108 \text{ people} = 1620 \text{ miles} \]
Final Answers: Rounded Distances:
- Lake A: 7
- Lake B: 9
- Lake C: 21
- Lake D: 19
- Lake E: 15
Total distance walked by the group: 1620 miles