https://file.aiquickdraw.com/mathbot/file/1726813999743ozl4qgtn.jpg

Sam has two options for his Guitar class. Let's analyze both schemes:

### Scheme I:
- A crash course of 30 hours costs $400.

### Scheme II:
- The first 8 hours cost a fixed fee of $120.
- After 8 hours, the cost is $10 per hour for any additional time.

Now, let's calculate how much Sam would pay in **Scheme II** if he also took 30 hours of classes:

1. **First 8 hours**: The cost is fixed at $120.
2. **Additional 22 hours** (since 30 hours - 8 hours = 22 hours):
   \[
   \text{Cost for additional hours} = 22 \times 10 = 220 \text{ dollars}
   \]

So, the total cost for Scheme II is:
\[
120 + 220 = 340 \text{ dollars}
\]

### Conclusion:
- **Scheme I** (crash course) costs $400 for 30 hours.
- **Scheme II** (regular classes) costs $340 for 30 hours.

If Sam plans to attend 30 hours of classes, **Scheme II** is more economical as it costs $60 less than Scheme I.

---

Do you want more details or have any questions?

Here are five questions that could expand on this:

1. How would the total cost for Scheme II change for a different number of hours?
2. What if the cost per hour in Scheme II increased to $12 after 8 hours?
3. How would the cost comparison change if the crash course in Scheme I was shorter (e.g., 20 hours)?
4. Is there a break-even point in terms of hours where Scheme I and Scheme II would cost the same?
5. How would the total cost for Scheme II change if Sam took fewer than 8 hours?

**Tip**: When comparing two pricing options, calculate the cost for different usage levels to see where one becomes more beneficial over the other!

Sam joins a Guitar class. There are two different schemes for the class:
I: He can join for a crash course of 30 hours that costs $400.
II: He can join regular classes for which the fee for the first 8 hours is fixed at $120, and after 8 hours, the fee is $10 per hour.

Explore the cost comparison between two guitar class schemes: a crash course of 30 hours for $400, and a regular class scheme with a fixed fee of $120 for the first 8 hours, followed by $10 per additional hour. Learn how to calculate the most economical choice based on total class hours.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation