Use the table to answer the question. Time walking (minutes) 20 30 40 60 80 Calories burned 100 150 200 300 400 The table shows a relationship between the amount of time spent walking and the number of calories burned. Determine if the relationship is proportional. (1 point) Responses The relationship is non-proportional; the graph does not pass through the origin. The relationship is non-proportional; the graph does not pass through the origin. The relationship is non-proportional; the graph would be an arc. The relationship is non-proportional; the graph would be an arc. The relationship is proportional. The relationship is proportional. The proportional relationship cannot be determined from the information provided.
To determine if the relationship between time spent walking and calories burned is proportional, we need to see if the ratio of calories burned to time spent walking is constant.
Looking at the provided table, we can calculate the ratio for each pair of values:
- For 20 minutes and 100 calories: 100 calories / 20 minutes = 5 calories per minute
- For 30 minutes and 150 calories: 150 calories / 30 minutes = 5 calories per minute
- For 40 minutes and 200 calories: 200 calories / 40 minutes = 5 calories per minute
- For 60 minutes and 300 calories: 300 calories / 60 minutes = 5 calories per minute
- For 80 minutes and 400 calories: 400 calories / 80 minutes = 5 calories per minute
The ratio of calories burned to time spent walking is constant at 5 calories per minute. Since the ratio is constant, the relationship between time spent walking and calories burned is proportional.
The correct response is: The relationship is proportional.