Final answer:
The teacher can purchase bags of chips represented by the inequality 2.93x ≤ 36.
Step-by-step explanation:
To determine the inequality representing the number of bags of chips the teacher can purchase, we need to consider the given budget constraint. The teacher wants to spend at most $36 on chips, and each bag of chips costs $2.93.
Let's assume the number of bags of chips the teacher can purchase is represented by x. Then the total cost of the bags of chips would be 2.93x. The inequality representing the budget constraint is 2.93x ≤ 36.
Therefore, the correct inequality representing the number of bags of chips the teacher can purchase is A) 2.93x ≤ 36.