Xavier drove for 30 minutes, then spent 2 hours shopping, then drove for 15 minutes and stopped at a friend's house for 1 hour. The total distance he traveled by car is a function of time.
Which graph most accurately represents this scenario? (4 points)
Unfortunately, as an AI text-based model, I am unable to view or analyze graphs. However, I can provide you with a description of how the graph should look based on the given scenario.
Based on the scenario, the graph should include three distinct sections.
1. The first section should show a straight line increasing at a constant rate for 30 minutes to represent the distance covered by Xavier while driving for 30 minutes initially.
2. The second section should show a horizontal line for 2 hours, representing the time Xavier spent shopping. Since he was not driving during this time, the distance remains constant.
3. The third section should show another straight line increasing at a constant rate for 15 minutes, representing the distance covered by Xavier while driving for 15 minutes before stopping at his friend's house.
Finally, there should be a horizontal line for 1 hour, representing the time spent at the friend's house. Since Xavier doesn't drive during this time, the distance covered remains constant.
Overall, the graph should have two horizontal sections (2 hours shopping, 1 hour at the friend's house) and two straight-line sections, each representing a different driving period (30 minutes initially, 15 minutes before stopping at the friend's house).
Here are the graphs-
A graph is shown with the x-axis labeled tTme (in hours) and the y-axis labeled Total distance (in miles). The line begins at y equals 10 and is horizontal until 0.5 hours. From 0.5 to 0.75 hours, the line moves quickly upward. From 0.75 to 3 hours, the line moves upward at a slower rate. From 3 to 3.75 hours, the line moves downward until it touches the x-axis
A graph is shown with the axis labeled Time (in hours) and the y-axis labeled Total distance (in miles). The line begins at the origin and moves upward until 0.5 hours. From 0.5 to 0.75 hours, the line moves back down to the x-axis. From 0.75 to 2.75 hours, the line moves quickly upward. From 2.75 to 3.75 hours, the line is horizontal
A graph is shown with the axis labeled Time (in hours) and the y-axis labeled Total distance (in miles). The line is horizontal from 0 to 0.5 hours, then moves downward until 0.75 hours. From 0.75 until 2.75 hours, the line is horizontal along the x-axis. From 2.5 to 3.75, the line moves in an upward direction
A graph is shown with the axis labeled Time (in hours) and the y-axis labeled Total distance (in miles). The line begins at the origin and continues upward until 0.5 hours. A horizontal line appears from 0.5 hours until 2.5 hours. From 2.5 to 2.75 hours, the line moves in an upward direction. From 2.75 to 3.75 hours, the line is horizontal
Based on the descriptions provided, the most accurate graph that represents the scenario is the third option.
A graph is shown with the axis labeled Time (in hours) and the y-axis labeled Total distance (in miles). The line is horizontal from 0 to 0.5 hours, then moves downward until 0.75 hours. From 0.75 until 2.75 hours, the line is horizontal along the x-axis. From 2.5 to 3.75, the line moves in an upward direction.
This graph accurately represents the scenario where Xavier drives for 30 minutes initially, then spends 2 hours shopping (horizontal line), drives for 15 minutes before stopping at his friend's house (downward movement), and remains at his friend's house for 1 hour (horizontal line at x-axis). Finally, he starts driving again and the line moves in an upward direction (upward movement).