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.
A. The proportional relationship cannot be determined from the information provided.
B. The relationship is non-proportional; the graph does not pass through the origin.
C. The relationship is non-proportional; the graph would be an arc.
The relationship is proportional.
B. The relationship is non-proportional; the graph does not pass through the origin.
B. The relationship is non-proportional; the graph does not pass through the origin.
To determine if the relationship between the amount of time spent walking and the number of calories burned is proportional, we need to check if the ratios between the time and calories are consistent or constant.
Let's calculate the ratios between time and calories for each data point:
For 20 minutes of walking: Ratio = 100 calories / 20 minutes = 5 calories/minute
For 30 minutes of walking: Ratio = 150 calories / 30 minutes = 5 calories/minute
For 40 minutes of walking: Ratio = 200 calories / 40 minutes = 5 calories/minute
For 60 minutes of walking: Ratio = 300 calories / 60 minutes = 5 calories/minute
For 80 minutes of walking: Ratio = 400 calories / 80 minutes = 5 calories/minute
Since the ratios between time and calories (calories/minute) are consistent and constant at 5 calories/minute, we can conclude that the relationship is proportional.
Therefore, the answer is, "The relationship is proportional" (C).