Final answer:
The appropriate domain for the function h(m), which represents the number of helium balloons blown up per minute, is all positive integers, as you can only have a whole, positive number of balloons.
Step-by-step explanation:
If the function h(m) gives the number of helium balloons the machine can blow up per minute, the appropriate domain for this scenario would be All positive integers.
This is because you can't blow up a negative number of balloons, and it doesn't make sense to blow up a fraction of a balloon.
Therefore, the number of balloons should be a whole number that is positive. The domain reflects the possible inputs to the function h(m), which in the context of blowing up helium balloons, would be positive counts.