If the function h(m) gives the number of helium balloons the machine can blow up per minute, then what is an appropriate domain for this scenario?

Question

A. All positive intergers
B. All real numbers
C. All negative numbers
D. All intergers

Answer 1

In the scenario where \( h(m) \) represents the number of helium balloons a machine can blow up per minute, the domain of the function should reflect the possible values of \( m \). Since it makes sense to have a positive count of balloons that can be inflated, we are looking for values that are non-negative integers (if considering whole balloons).

The appropriate domain from the given options would be:

A. All positive integers

This is because a machine cannot blow up a negative number of balloons or a non-integer amount of balloons, and typically, only positive integers will make sense in this physical context.