This graph shows a student’s distance from home over time. Which statements best describe the student’s journey? (2 points) Responses
The student went further away from home each time he left the house.
The student left and came back home twice on this journey.
The student rested 3 times during his journey.
The student climbed 3 hills during his journey.
The student went up and down the neighborhood looking for his dog.
The student left home and never came back during this journey.
The statements that best describe the student's journey are:
1) The student left and came back home twice on this journey.
2) The student rested 3 times during his journey.
correct?
Yes, that is correct. The graph shows that the student's distance from home goes up and down, indicating that they left and came back home twice. It also shows three points where the distance remains constant, indicating that the student rested three times during the journey.
To determine the answer to this question, let's analyze the graph that shows the student's distance from home over time. From the graph, we can gather the following information:
1. The student went further away from home each time he left the house: To confirm this statement, we need to check if the distance from home increases each time the student leaves the house. Look at the graph and track the student's distance at different time points. If the distances consistently increase, this statement is true.
2. The student left and came back home twice on this journey: To verify this statement, we need to identify any instances where the student's distance from home reaches zero on the graph. By checking the points where the graph intersects the x-axis (time axis), we can determine if the student returned home twice.
3. The student rested three times during his journey: To examine this statement, we need to identify any points on the graph where there is no change in the student's distance from home over a period of time. If there are three such instances, this statement is true.
4. The student climbed three hills during his journey: This statement is not clear from the graph alone. The graph does not directly indicate whether the student encountered hills or changes in elevation. Therefore, based solely on the graph, we cannot confirm or deny this statement.
5. The student went up and down the neighborhood looking for his dog: The graph does not provide information about the purpose of the student's journey. Therefore, we cannot determine whether the student went up and down the neighborhood looking for his dog based solely on the graph.
6. The student left home and never came back during this journey: Once again, we need to identify any instances where the student's distance from home reaches zero on the graph. If the graph does not intersect the x-axis at any point, this statement is true.
By analyzing the graph and comparing it to the statements provided, we can determine which statements are valid based on the information given.