Final Answer:
The man traveled a total distance of 3.5 miles (A).
Step-by-step explanation:
To determine how far the man traveled, we need to calculate the total distance he walked from his starting point to the grocery store and then back to his friend's house.
1. Distance to the grocery store: The man walks 3 miles to reach the grocery store.
2. Distance from the grocery store to his friend's house: The man walks half a mile from the store to his friend's house.
Now, we can calculate the total distance traveled by adding the distance to the grocery store and the distance from the store to his friend's house:
Total distance = Distance to the grocery store + Distance from the grocery store to his friend's house
Total distance = 3 miles + 0.5 miles
Total distance = 3.5 miles
Therefore, the man traveled a total distance of 3.5 miles.
In conclusion, the correct answer is A) 3.5 miles.