The mathematical statements that represent the quantities and constraints in the situation are: 5 ≤ n ≤ 8, c = 2n, and 10 < c < 16.
The mathematical statements that represent the quantities and constraints in the situation are:
A. 5 ≤ n ≤ 8
C. c = 2n
E. 10 < c < 16
Statement A represents the range of values for the number of people at the get-together, which is between 5 and 8, including 5 and 8.
Statement C represents the relationship between the number of cups of water (c) and the number of people (n), which is that the number of cups of water is equal to 2 times the number of people.
Statement E represents the range of values for the number of cups of water (c), which is between 10 and 16, but not including 10 or 16.