https://file.aiquickdraw.com/mathbot/file/1726666277630qbblhfby.jpg

Let's break down the problem and analyze it step by step:

- Jolie's gym charges her **$32** per month as a fixed fee.
- Each visit to the childcare service costs **$9**.
- Jolie does not want to spend more than **$122** total for both the gym dues and childcare visits.
- Let **x** represent the number of times she uses the childcare service in a month.

The total cost can be represented as the sum of the fixed gym fee ($32) and the cost for using childcare **x** times, which is **9x**.

Thus, the inequality that represents her situation is:

\[
32 + 9x \leq 122
\]

This is because she wants to spend no more than $122, which implies the total must be less than or equal to $122.

Looking at the answer choices:

- Option **C: $32 + 9x \leq 122** is the correct inequality.

The highlighted option (B) is incorrect because it represents spending more than or equal to $122, which contradicts the condition in the problem.

Would you like further details or explanations?

Here are 5 questions related to this concept:
1. How do we solve inequalities involving variables?
2. What is the difference between an equation and an inequality?
3. How can we represent this problem graphically?
4. How do we check the solution to an inequality?
5. How does changing the cost per childcare visit affect the inequality?

**Tip:** When translating word problems to mathematical expressions, always check whether the problem is about a limit ("no more than" implies ≤, while "at least" implies ≥).

Jolie uses the childcare facilities at her gym. Her monthly dues are $32, and childcare is $9 per visit. This month, she does not wish to spend more than $122 for both dues and childcare. If x represents the number of times she can use childcare services, which of the following inequalities symbolizes this situation?

Learn how to solve the inequality problem where Jolie wants to limit her spending to $122 for both gym dues and childcare services, using the formula $32 + 9x ≤ $122. This problem teaches how to translate word problems into inequalities. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation