Answer: The camp manager needs at least 40 staff members. Write an inequality that represents this situation.
Let c be the number of counselors and t be the number of trainees. Then the total number of staff members is c + t. Since the manager needs at least 40 staff members, we can write the inequality:
c + t ≥ 40
The camp manager has a budget of $1200 per day to spend on staff. Write an inequality that represents this situation.
Let H be the number of hours worked by all staff members combined. Then the total cost of staff per day is:
16c + 12t ≤ 1200
This inequality ensures that the total cost of staff does not exceed the budget of $1200 per day.
The camp manager wants to hire at least 4 counselors for every 5 trainees. Write an inequality that represents this situation.
Let c be the number of counselors and t be the number of trainees. Then the camp manager wants to satisfy the inequality:
c ≥ (4/5)t
This inequality ensures that there are at least 4 counselors for every 5 trainees, or equivalently, that the ratio of counselors to trainees is at least 4:5.
Explanation: