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?(1 point) Responses All integers All integers All positive integers All positive integers All real numbers All real numbers All negative numbers

Answer 1

In this scenario, since \( h(m) \) represents the number of helium balloons a machine can blow up per minute, the domain should be limited to non-negative integers. This is because the number of balloons cannot be negative, and you can't have a fractional part of a balloon being blown up in a minute.

Thus, the most appropriate domain for this function would be “All positive integers,” which means \( h(m) \) can take on values from 1 upwards (1, 2, 3, ...), assuming the machine can blow up at least one balloon per minute.

If we consider 0 balloons to be a valid case (indicating the machine can sometimes be inactive), then it could also include 0 as a valid number. Therefore, including 0 would broaden the domain to "non-negative integers" (which would represent 0 and all positive integers).

However, based on the provided responses and the typical understanding of such functions, the most fitting response is "All positive integers."