To determine if the relationship between the amount of time spent walking and the number of calories burned is proportional, we need to check for two main characteristics:
- The relationship passes through the origin (0,0), meaning if no time is spent walking, no calories are burned.
- There is a constant ratio between time spent walking and calories burned.
Without the specific data from the table, I can guide you on what to look for:
- If the table indicates that as time increases, calories burned also increase at a constant rate (e.g., doubling the time doubles the calories burned), then the relationship is proportional.
- If the data shows that at zero time spent walking (0 hours or minutes), the calories burned is also zero, it indicates the graph passes through the origin.
Based on these criteria, you can select one of the following responses:
- "The relationship is proportional." if it meets the criteria above.
- "The relationship is non-proportional; the graph would be an arc." if the relationship is not a straight line but curves.
- "The relationship is non-proportional; the graph does not pass through the origin." if it starts at a point other than (0,0).
- "The relationship cannot be determined from the information provided." if there is insufficient information from the table.
Please use the data in your table to analyze these points and choose the best answer!