Use the table to answer the question.
Time walking (walking): | 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 while walking. Determine if the relationship is proportional.
A. The relationship is proportional.
B. The proportional relationship cannot be determined from the information provided.
C. The relationship is non-proportional; the graph does not pass through the origin.
D. The relationship is non-proportional; the graph would be an arc.
B. The proportional relationship cannot be determined from the information provided.
To determine if the relationship is proportional, we need to check if the ratio of calories burned to time walking is constant for all values in the table.
Let's calculate the ratio for each row of 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
We can see that the ratio of calories burned to time walking is the same (5) for all values in the table.
Therefore, the relationship is proportional.
So, the answer is:
A. The relationship is proportional.
To determine if the relationship is proportional, we need to check if the ratio between the time walking and the calories burned is constant. We can do this by examining the ratios of time/calories for each data point:
20/100 = 0.2
30/150 = 0.2
40/200 = 0.2
60/300 = 0.2
80/400 = 0.2
Since all of the ratios are equal to 0.2, we conclude that the relationship between the time walking and the calories burned is proportional.
Therefore, the correct answer is: A. The relationship is proportional.