A teacher is buying bags of chips for a grade-level picnic. The teacher wants to spend at most 36$
on chips. Each bag of chips costs 2.95$
.

Which inequality represents the number of bags of chips,
, the teacher can purchase?

To find the inequality that represents the number of bags of chips the teacher can purchase, let's define the variables:

- Let $ x $ represent the number of bags of chips.
- Each bag costs $ 2.95 $ dollars.
- The teacher wants to spend at most $ 36 $ dollars.

The inequality should express that the total cost of the chips is less than or equal to $ 36 $ dollars. The total cost is calculated by multiplying the number of bags, $ x $, by the price per bag, $ 2.95 $:

\[
2.95x \leq 36
\]

So, the inequality that represents the number of bags of chips the teacher can purchase is:

\[
2.95x \leq 36
\]

Would you like more details on solving this inequality? If so, I can walk you through the steps.

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**Here are 5 related questions to consider:**

1. How many bags of chips can the teacher actually buy with exactly $ 36 $ dollars?
2. What would be the inequality if the price of each bag of chips was $ 3.50 $ dollars instead?
3. If the teacher buys 10 bags, how much money will be left over from the $ 36 $ dollars?
4. What happens to the inequality if the teacher decides to spend no more than $ 45 $ dollars instead?
5. How would the inequality change if there was a discount, making each bag cost $ 2.50 $ dollars?

**Tip:** When solving inequalities, always pay attention to the direction of the inequality sign, especially if you multiply or divide by a negative number.

Learn how to solve the inequality 2.95x ≤ 36 to determine the maximum number of bags of chips a teacher can buy for a grade-level picnic with a budget of $36. This problem involves basic arithmetic and understanding of inequalities. Suitable for Grades 6-8.

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