Question

A farmer sets up two corn mazes for a fall festival, as shown in this model.
Maze #1: 5 acres
Maze #2: 15 acres
Which equivalent expressions are represented by the model? Check the three that apply.
(3 points)
(5) (3) + (5) (1)

15 + 5


5(3 + 1)


3(5 + 1)


3 + (5 + 1)

Answer 1

To find the equivalent expressions represented by the model of the two corn mazes, we can analyze the given options based on their mathematical representations.

1. **Maze #1: 5 acres**
2. **Maze #2: 15 acres**

### Let's break each option down:

1. **(5)(3) + (5)(1)**
- This represents \( 5 \times 3 + 5 \times 1 = 15 + 5 = 20 \).
- **This expression is equivalent**.

2. **15 + 5**
- This is simply \( 15 + 5 = 20 \).
- **This expression is equivalent**.

3. **5(3 + 1)**
- This represents \( 5 \times (3 + 1) = 5 \times 4 = 20 \).
- **This expression is equivalent**.

4. **3(5 + 1)**
- This represents \( 3 \times (5 + 1) = 3 \times 6 = 18 \).
- **This expression is not equivalent**.

5. **3 + (5 + 1)**
- This represents \( 3 + (5 + 1) = 3 + 6 = 9 \).
- **This expression is not equivalent**.

### Conclusion:
The three equivalent expressions are:
- **(5)(3) + (5)(1)**
- **15 + 5**
- **5(3 + 1)**

So you should select the first three options.