https://file.aiquickdraw.com/mathbot/file/1727304547861t5sa3igv.jpg

The problem in the image involves calculating the total cost for producing shirts at Kara's Custom Tees, given fixed and variable costs.

### Problem Statement Breakdown:
- **Fixed costs**: \$300
- **Variable costs**: \$2 per shirt
- **Let** $ x $ **be the number of shirts**.

#### Task:
1. Write an equation for the total cost $ C(x) $ of producing $ x $ shirts.
2. Calculate the total cost of producing 9 shirts.

### Equation:
The total cost $ C(x) $ is the sum of the fixed costs and the variable costs multiplied by the number of shirts:
\[
C(x) = 300 + 2x
\]

### Calculating the Cost for 9 Shirts:
For $ x = 9 $:
\[
C(9) = 300 + 2(9) = 300 + 18 = 318
\]

So, the total cost of producing 9 shirts is **\$318**.

---

Would you like more details or have any other questions?

Here are some related questions to consider:
1. How would the equation change if the variable cost per shirt increased to \$3?
2. What would the total cost be for producing 50 shirts?
3. How many shirts could be produced for a total cost of \$500?
4. How does the total cost increase with each additional shirt produced?
5. If the fixed cost were reduced to \$200, what impact would this have on the total cost equation?

**Tip**: In problems involving both fixed and variable costs, always remember that fixed costs stay the same regardless of the number of units produced, while variable costs change based on the quantity.

Kara's Custom Tees experienced fixed costs of $300 and variable costs of $2 a shirt. Write an equation that can be used to determine the total expenses encountered by Kara's Custom Tees. Let x be the number of shirts, and let C(x) be the total cost of producing x shirts. Then, calculate the cost of producing 9 shirts.

Learn how to determine the total cost for producing shirts at Kara's Custom Tees using the linear equation C(x) = 300 + 2x. This problem explores fixed and variable costs and is suitable for students in Grades 7-9. Solve for the cost of producing 9 shirts, which totals $318.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation