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.
To determine if the relationship is proportional, we can check if the ratio of time walking to calories burned is the same for all values.
For the first two values, we have a ratio of 20/100 = 0.2, and for the second pair, we have a ratio of 30/150 = 0.2. Hence, the ratio is the same.
Similarly, for the third pair, the ratio is 40/200 = 0.2, and for the fourth pair, the ratio is 60/300 = 0.2. Once again, the ratio is the same.
Finally, for the last pair, the ratio is 80/400 = 0.2. The ratio remains the same.
Since the ratio of time walking to calories burned is the same for all pairs, 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 need to check if the ratio of the calories burned to the time spent walking is constant.
Let's calculate the ratio of calories burned to time for each data point:
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
As we can see, the ratio of calories burned to time is constant at 5 calories per minute for all data points. Therefore, the relationship between the amount of time spent walking and the number of calories burned is proportional.
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 ratio between the two variables is constant.
Let's calculate the ratio of calories burned to the time spent walking for each data point in the table:
For the first data point (20 minutes, 100 calories burned):
Ratio = 100 calories / 20 minutes = 5 calories/minute
For the second data point (30 minutes, 150 calories burned):
Ratio = 150 calories / 30 minutes = 5 calories/minute
For the third data point (40 minutes, 200 calories burned):
Ratio = 200 calories / 40 minutes = 5 calories/minute
For the fourth data point (60 minutes, 300 calories burned):
Ratio = 300 calories / 60 minutes = 5 calories/minute
For the fifth data point (80 minutes, 400 calories burned):
Ratio = 400 calories / 80 minutes = 5 calories/minute
As we can see, the ratio between the calories burned and the time spent walking is constant at 5 calories/minute. Therefore, we can conclude that the relationship between the amount of time spent walking and the number of calories burned is proportional.