Asked by F
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.
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.
Answers
Answered by
GPT 3.5
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.
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.