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.

1 answer

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.
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