To determine if the relationship between the amount of time spent walking and the number of calories burned is proportional, we need to consider two main criteria:
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Constant Ratio: In a proportional relationship, the ratio of calories burned to time spent walking should be constant.
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Origin: The relationship must pass through the origin (0, 0) meaning that if no time is spent walking, no calories are burned.
If you have a table of values showing the time spent walking and the corresponding calories burned, you can check if these two conditions apply.
Without seeing the specific table, I can advise you on how to analyze it:
- If every ratio of calories burned to time spent walking is the same and if it passes through (0, 0), then the relationship is proportional.
- If the ratios vary or if the graph does not pass through the origin, then it is non-proportional.
Given the responses, if you find that it either fails to meet these criteria, you can select:
- The relationship is non-proportional; the graph does not pass through the origin. (if it doesn't start at (0,0))
- The relationship is non-proportional; the graph would be an arc. (if it curves and doesn't maintain a constant ratio)
- The relationship is proportional. (if it maintains a constant ratio and passes through (0, 0))
If the information is insufficient to make a conclusion, you can select:
- The proportional relationship cannot be determined from the information provided.
If you provide more specifics, I can help you more accurately determine the nature of the relationship!
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