Bob was given and exercise prescription for 3-5 METS for his home exercise program. He is currently walking, and at the fitness center using a treadmill, walking 3.2 mph up a3% incline. Bob weighs 70kg. is Bob exercising in his prescribed zone?

1 MET = 3.5 mL of oxygen/kg of body weight/min

I do not know the formulae to calculate METS from given activities. Numerous charts are available for this. The following calculator link seems to say that on a treadmill at 3.2mph at 3% incline is 4.8 METS.

http://www.fedel.com/mets/

To determine if Bob is exercising in his prescribed zone, we need to calculate the METs for his current activity and compare it to the prescribed range.

First, let's calculate the oxygen consumption for Bob's current activity level.

We know that 1 MET is equal to 3.5 mL of oxygen/kg of body weight/min. Since Bob weighs 70 kg, we can calculate his oxygen consumption per minute for a 1 MET activity:

Oxygen Consumption for 1 MET = 3.5 mL/kg/min * 70 kg = 245 mL/min

Next, let's calculate the oxygen consumption for Bob's current activity.

Bob is walking on a treadmill at a speed of 3.2 mph, which is approximately 5.15 km/h. The MET value for walking at this speed can be obtained from various sources or MET tables. For the purpose of this explanation, let's assume that the MET value for his activity is 4 (you may need to look up the specific MET value if available).

Oxygen Consumption for Bob's current activity = MET value * Oxygen Consumption for 1 MET
= 4 * 245 mL/min
= 980 mL/min

Now, let's calculate Bob's METs based on his oxygen consumption for his current activity.

METs = Oxygen Consumption for Bob's current activity / Oxygen Consumption for 1 MET
= 980 mL/min / 245 mL/min
= 4 METs

Since Bob's calculated METs for his current activity is within the prescribed range of 3-5 METs, he is exercising within his prescribed zone.

Note: It's important to consult with a healthcare professional or exercise specialist for accurate prescription and interpretation of exercise intensity levels.