Final answer:
Maxine biked a total of 16 miles. To represent her journey on a graph, you would show a rise to 6 miles, reflect a rest period, increase to 10 miles, another rest, and then a return back to 0 to indicate her position relative to home over time.
Step-by-step explanation:
To find the total distance Maxine biked, we simply need to add up the individual legs of her trip. Maxine bikes 6 miles from home to her initial stop, then bikes another 4 miles before turning around to bike home. Since the distance from her final stop back to home is the same as her initial leg of the trip, this would be another 6 miles.
Total distance = First leg + Second leg + Return trip
Total distance = 6 miles + 4 miles + 6 miles
Total distance = 16 miles
A graph of position versus time would start at 0 at the time Maxine starts her trip. The line would rise to 6 miles, remain constant during her rest, then increase to 10 miles. After the second rest, the line would return back to 0, completing the graph. It would show three distinct parts of the journey: away from home, further away, and then back.