https://file.aiquickdraw.com/mathbot/file/1725585492924cit7whoj.jpg

It looks like you uploaded an image showing a problem related to gym membership options and costs. Here's a breakdown of the problem based on the visible information:

- The table shows different membership options at a fitness center with two categories: "Basic" and "Fit Extreme." The costs associated are as follows:
  - **Basic**: $50 per class.
  - **Fit Plus**: $75 per month, plus $5 per class.
  - **Fit Extreme**: $30 enrollment fee and unlimited classes.

The problem seems to ask about comparing costs based on a scenario involving multiple classes. Specifically, it appears to be asking how much Jagan, a person mentioned in the problem, will spend if he takes 12 classes in a month under different membership plans.

### Let's calculate each option:

1. **Basic Membership**:
   - Cost per class = $50.
   - For 12 classes: $ 50 \times 12 = 600 $ dollars.
   
2. **Fit Plus Membership**:
   - Monthly fee = $75.
   - Additional cost per class = $5.
   - For 12 classes: $ 75 + (5 \times 12) = 75 + 60 = 135 $ dollars.

3. **Fit Extreme Membership**:
   - Enrollment fee = $30.
   - Since classes are unlimited, the total cost for the month = $30.

### Conclusion:
- Basic Membership: $600.
- Fit Plus Membership: $135.
- Fit Extreme Membership: $30.

It appears that the **Fit Extreme Membership** is the most cost-effective option if Jagan is taking 12 classes in a month.

Would you like further details on how the calculations were done or explanations on any of the membership plans?

Here are five related questions to expand your understanding:
1. What if Jagan took only 5 classes in a month? Which plan would be cheaper?
2. How many classes would Jagan need to take for the Fit Plus plan to be better than the Basic plan?
3. What if the enrollment fee for Fit Extreme increased to $50? How would that affect the decision?
4. If Jagan plans to take 15 classes a month, how does the total cost compare across all memberships?
5. How would a discount on the Basic membership (e.g., $40 per class) affect his choices?

**Tip**: When comparing multiple plans with fixed and variable costs, calculating the total cost based on usage is key to determining the best option.

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

Explore how Jagan compares different gym membership plans: Basic, Fit Plus, and Fit Extreme. The cost calculations for 12 classes show that Fit Extreme is the most affordable option at $30. Learn how proportional relationships play a role in determining the best deal.

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