Final answer:
Austin would burn 40 calories during a 10-minute weight training session, calculated by dividing the number of calories burned in 30 minutes by 3.
Step-by-step explanation:
If Austin burns 120 calories per 30 minutes of weight training, to find out how many calories he would burn in 10 minutes, we need to set up a ratio because the number of calories burned is directly proportional to the time spent training.
Since there are 3 sets of 10 minutes in 30 minutes, we divide the total calories burned in 30 minutes by 3 to find out the calories burned in 10 minutes:
Calories burned in 10 minutes = \( \frac{120 \text{ calories}}{3} \) = 40 calories.
So, Austin would burn 40 calories during 10 minutes of weight training.