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 proportional relationship cannot be determined from the information provided.
The proportional relationship cannot be determined from the information provided.
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.
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The relationship is proportional.
To determine if the relationship is proportional, we can check if the ratios between the time walking and the calories burned are always the same.
Let's check the ratios for the given data:
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
Since the ratio between the time walking and the calories burned is always the same (5 calories per minute), we can conclude that the relationship is proportional.
Therefore, the answer is: The relationship is proportional.
To determine if the relationship between the amount of time spent walking and the number of calories burned is proportional, we can examine the table. In a proportional relationship, the ratio between the two variables should remain constant.
To check for proportionality, we can calculate the ratio of calories burned to time walking for each row in the table:
Ratio for 20 minutes = 100/20 = 5
Ratio for 30 minutes = 150/30 = 5
Ratio for 40 minutes = 200/40 = 5
Ratio for 60 minutes = 300/60 = 5
Ratio for 80 minutes = 400/80 = 5
In this case, we can see that the ratio of calories burned to time walking remains constant at 5 for each row in the table. Therefore, the relationship between the amount of time spent walking and the number of calories burned is proportional.
Therefore, the correct answer is:
The relationship is proportional.