If there are x rows of chairs and each row contains 3x chairs. Determine the total number of chairs.

Options

A. `3x^(2)`
B. `2x^(3)`
C. `x^(2)`
D. `x^(3)`

Answer

To determine the total number of chairs given that there are \( x \) rows of chairs and each row contains \( 3x \) chairs, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the number of rows and chairs per row**:
- We have \( x \) rows of chairs.
- Each row contains \( 3x \) chairs.

2. **Calculate the total number of chairs**:
- To find the total number of chairs, we multiply the number of rows by the number of chairs in each row.
- Total chairs = (Number of rows) × (Number of chairs per row)
- Total chairs = \( x \times 3x \)

3. **Simplify the expression**:
- Using the property of multiplication, we can rearrange the terms:
- Total chairs = \( 3x \times x \)
- This can be simplified as \( 3 \times x \times x \).

4. **Apply the exponent rule**:
- We know that \( x \times x = x^2 \).
- Therefore, Total chairs = \( 3x^2 \).

5. **Final answer**:
- The total number of chairs is \( 3x^2 \).

### Final Result:
The total number of chairs is \( 3x^2 \).

---