https://file.aiquickdraw.com/mathbot/file/1725585663207n0u1o9bl.jpg

It looks like you've uploaded an image of a math problem related to membership options at a fitness center. Let me take a closer look and help you solve the problem.

The image mentions:

- There are different membership options:
  - **Basic:** $10 per class
  - **Hot Pass:** $80 per month for unlimited classes
  - **Fit Elements:** $75 per month plus $5 per class
  
The question is about Logan choosing the membership plan that represents a proportional relationship between the number of classes and the monthly cost. It asks how much Logan would spend if he takes 12 classes in a month.

Let's calculate the cost for each membership option for 12 classes:

1. **Basic:** 
   - Cost per class: $10
   - For 12 classes: $10 \times 12 = 120$ dollars.

2. **Hot Pass:** 
   - Unlimited classes: $80 per month
   - For 12 classes: $80 (no additional cost per class)

3. **Fit Elements:**
   - Monthly fee: $75
   - Additional cost per class: $5
   - For 12 classes: $75 + (5 \times 12) = 75 + 60 = 135$ dollars.

**Proportional Relationship:** 

The proportional relationship means the cost per class remains consistent as the number of classes increases. Only the **Basic** option maintains a direct proportional relationship because each class is charged the same, $10 per class.

So, if Logan chooses the **Basic** option, he would spend **$120** for 12 classes.

Would you like further details or have any questions about this? Here are some related questions to consider:

1. What would be the cost for different numbers of classes using each membership option?
2. How does the proportionality of the Basic plan help in budgeting for classes?
3. If Logan wants to attend more than 12 classes, at what point does the Hot Pass become more cost-effective?
4. How can you graph the cost for each membership option to visualize the proportional relationship?
5. What are some examples of other proportional relationships in everyday scenarios?

**Tip:** When comparing different pricing plans, always consider both fixed and variable costs to determine the most economical option based on your usage pattern.

Logan chooses the membership that represents a proportional relationship between the number of classes and the monthly cost. How much will he spend if he takes 12 classes in a month?

Learn how to calculate the cost of different fitness center membership plans for 12 classes. This problem involves understanding proportional relationships and calculating costs using linear equations. 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