Answer: A: Yes. The input and output are both feasible.
Explanation:
To determine whether the solution (29.5, $212.50) makes sense for the function c(x), we need to evaluate whether the input and output are feasible and make sense in the context of the problem.
The input is given as 29.5, which represents the number of students. It is unclear from the information given whether a non-integer value for the number of students is feasible or not. However, if we assume that 29.5 students means 29 students and 1 child attending the carnival, then the input of 29.5 students is feasible.
The output is given as $212.50, which represents the amount of money spent at the carnival. It is reasonable to assume that a school group on a field trip would spend a certain amount of money at a carnival, and $212.50 is not an unreasonable amount to spend.
Therefore, based on the information given, we can conclude that the solution (29.5, $212.50) makes sense for the function c(x). So the answer is A: Yes. The input and output are both feasible.