Final answer:
By adding the distances Jill covered during her round trips and converting the sum to miles, it is determined that Jill traveled approximately 2 miles.
Step-by-step explanation:
To determine how far it is from the house to the mall, following Jill's journey, we can reconstruct the steps detailed in the question. Initially, Jill travels 0.5 km due east from her house. When she runs out of flyers and returns home, this adds another 0.5 km to her total distance. When she resumes her journey by going back the same path, she covers an additional 1.0 km. Finally, when she turns back towards her house after stopping to rest, she has gone 1.75 km.
Summing up these distances: 0.5 km + 0.5 km + 1.0 km + 1.75 km = 3.75 km. We need to convert this to miles. Given that 1 km equals 0.62 miles, Jill’s total distance in miles is 3.75 km * 0.62 miles/km = 2.325 miles. Rounded to the nearest mile, Jill has traveled approximately 2 miles.