Time walking (minutes) , 20,30,40,60,80
100,150,200,300,400
Calories Burned
The table shows the 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 need to see if there is a constant ratio between the time spent walking and the number of calories burned.
Let's calculate the ratios for each pair of values:
For 20 minutes of walking: 20 minutes / 100 calories = 0.2 minutes/calorie
For 30 minutes of walking: 30 minutes / 150 calories = 0.2 minutes/calorie
For 40 minutes of walking: 40 minutes / 200 calories = 0.2 minutes/calorie
For 60 minutes of walking: 60 minutes / 300 calories = 0.2 minutes/calorie
For 80 minutes of walking: 80 minutes / 400 calories = 0.2 minutes/calorie
Since the ratio is consistently 0.2 minutes/calorie for each pair, we can conclude that the relationship between the time spent walking and the number of calories burned is proportional.
To determine if the relationship between time walking and calories burned is proportional, we need to check if the ratio of time walking to calories burned is the same for all pairs of values.
Let's calculate the ratios for each pair of values:
For 20 minutes of walking, calories burned = 20 calories.
Ratio = 20/20 = 1.
For 30 minutes of walking, calories burned = 30 calories.
Ratio = 30/30 = 1.
For 40 minutes of walking, calories burned = 40 calories.
Ratio = 40/40 = 1.
For 60 minutes of walking, calories burned = 60 calories.
Ratio = 60/60 = 1.
For 80 minutes of walking, calories burned = 80 calories.
Ratio = 80/80 = 1.
For 100 minutes of walking, calories burned = 100 calories.
Ratio = 100/100 = 1.
For 150 minutes of walking, calories burned = 150 calories.
Ratio = 150/150 = 1.
For 200 minutes of walking, calories burned = 200 calories.
Ratio = 200/200 = 1.
For 300 minutes of walking, calories burned = 300 calories.
Ratio = 300/300 = 1.
For 400 minutes of walking, calories burned = 400 calories.
Ratio = 400/400 = 1.
As we can see, the ratio of time walking to calories burned is the same for all pairs of values. Therefore, the relationship is proportional.
To determine if the relationship between the time walked (in minutes) and the calories burned is proportional, we need to check if the ratio of time walked to calories burned remains constant.
Let's calculate the ratios for each pair of values:
For 20 minutes of walking, calories burned = 20
Ratio = 20/20 = 1
For 30 minutes of walking, calories burned = 30
Ratio = 30/30 = 1
For 40 minutes of walking, calories burned = 40
Ratio = 40/40 = 1
For 60 minutes of walking, calories burned = 60
Ratio = 60/60 = 1
For 80 minutes of walking, calories burned = 80
Ratio = 80/80 = 1
For 100 minutes of walking, calories burned = 100
Ratio = 100/150 = 2/3 (not equal to 1)
Since the ratio of time walked to calories burned is not constant for the pair (100 minutes, 150 calories), we can conclude that the relationship between time walked and calories burned is not proportional.
Therefore, the relationship is not proportional.