Answer:
The maximum amount of time that the ballroom can be rented is 3.4 h.
Explanation:
In order to find the maximum amount of time the ballroom can be rented we can create an inequality in such a way that the cost must be less or equal to $80.58, which is the amount of money that is available. So we have:
c = 23.7*h
80.58 >= 23.7*h
23.7*h =< 80.58
h =< 80.58 / 23.7
h =< 3.4 h
The maximum amount of time that the ballroom can be rented is 3.4 h.