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 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.
The relationship is proportional.
The relationship is proportional.
The relationship is proportional.
To determine if the relationship is proportional, we can examine the table provided. In a proportional relationship, the ratio between the two variables (in this case, time walking and calories burned) should remain constant.
Let's calculate the ratios for the given data points:
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
As we can see, all the ratios are equal to 5. Therefore, the relationship is proportional.