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 proportional. The relationship is proportional. 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 non-proportional; the graph does not pass through the origin. The relationship is non-proportional; the graph does not pass through the origin. The proportional relationship cannot be determined from the information provided.
The relationship is non-proportional; the graph does not pass through the origin.
To determine if the relationship is proportional, we need to check if the ratio between the time spent walking and the calories burned remains constant.
Let's calculate the ratios for the given data points:
- For 20 minutes of walking: 100 calories / 20 minutes = 5 calories per minute.
- For 30 minutes of walking: 150 calories / 30 minutes = 5 calories per minute.
- For 40 minutes of walking: 200 calories / 40 minutes = 5 calories per minute.
- For 60 minutes of walking: 300 calories / 60 minutes = 5 calories per minute.
- For 80 minutes of walking: 400 calories / 80 minutes = 5 calories per minute.
Since the ratio of calories burned to time walking is constant (5 calories per minute) for all data points, we can conclude that the relationship is proportional. Therefore, the correct response is:
The relationship is proportional.
To determine if the relationship between the time spent walking and the number of calories burned is proportional, we need to check if the ratio of time to calories remains constant.
Let's calculate the ratios for each time:
For 20 minutes: 100 calories / 20 minutes = 5 calories per minute
For 30 minutes: 150 calories / 30 minutes = 5 calories per minute
For 40 minutes: 200 calories / 40 minutes = 5 calories per minute
For 60 minutes: 300 calories / 60 minutes = 5 calories per minute
For 80 minutes: 400 calories / 80 minutes = 5 calories per minute
As we can see, the ratio of time to calories remains constant at 5 calories per minute for all cases. Therefore, the relationship is proportional.
Therefore, the answer is: The relationship is proportional.