Final answer:
The correct inequality that represents the number of students, n, that can attend the trip is (n| 15 ≤ n ≤ 27). So the correct answer is Option A.
Step-by-step explanation:
The math club has planned to spend between $779 and $1,295 to attend a tournament. The cost per student is $43, and there is a one-time tournament fee of $134. To represent the number of students, n, that can attend the trip, we can set up the following inequality:
779 ≤ (43n + 134) ≤ 1,295
By solving this inequality, we can determine the range of values for n. Subtracting 134 from all sides gives us:
645 ≤ 43n ≤ 1,161
Next, dividing all sides by 43 gives us:
15 ≤ n ≤ 27
So, the correct inequality that represents the number of students, n, that can attend the trip is (n| 15 ≤ n ≤ 27).