Time walking (minutes) 20 30 40 60 80 Calories burned 100 150 200 300 400

Question

The table shows a relationship between the amount of time spent walking and the number of calories burned. Determine if the relationship is proportional.

Answer 1

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.