Question

Selena is buying an audio system for her car. She can choose among 3 types of stereos, 4 kinds of speakers, and 2 kinds of amplifiers. Which describes how Selena can show her options?
List the 3 types of stereos. Draw branches from each type and list the 4 speakers at the ends. Then, draw branches from each speaker type and list the 2 amplifiers at the ends.
List the 3 types of stereos. Draw branches from each type and list the 4 speakers at the ends.
List 1 stereo. Draw a branch from the stereo and list 1 speaker at the end. Then, draw a branch from the speaker and list 1 amplifier at the end.
List the 3 types of stereos. Draw branches from each type and list the 4 speakers at the ends. Then, draw a branch from the speaker and list 1 amplifier at the end.

Answer 1

To help Selena visualize her options for the audio system in her car, let's go through the different descriptions.

### Option 1: Full Representation (3 Types of Stereos, 4 Speakers, 2 Amplifiers)

1. **Types of Stereos:**
- Stereo A
- Stereo B
- Stereo C

2. **Speakers for Each Stereo:**
- **Stereo A:**
- Speaker 1
- Speaker 2
- Speaker 3
- Speaker 4
- **Stereo B:**
- Speaker 1
- Speaker 2
- Speaker 3
- Speaker 4
- **Stereo C:**
- Speaker 1
- Speaker 2
- Speaker 3
- Speaker 4

3. **Amplifiers for Each Speaker:**
- **Speaker 1:**
- Amplifier 1
- Amplifier 2
- **Speaker 2:**
- Amplifier 1
- Amplifier 2
- **Speaker 3:**
- Amplifier 1
- Amplifier 2
- **Speaker 4:**
- Amplifier 1
- Amplifier 2

### Option 2: Selected Representation (1 Stereo, 1 Speaker, 1 Amplifier)

1. **Choose a Stereo:**
- Stereo A

2. **Choose a Speaker for the Selected Stereo:**
- Speaker 1

3. **Choose an Amplifier for the Selected Speaker:**
- Amplifier 1

### Option 3: Intermediate Representation (3 Types of Stereos, 4 Speakers, 1 Amplifier)

1. **Types of Stereos:**
- Stereo A
- Stereo B
- Stereo C

2. **Speakers for Each Stereo:**
- **Stereo A:**
- Speaker 1
- Speaker 2
- Speaker 3
- Speaker 4
- **Stereo B:**
- Speaker 1
- Speaker 2
- Speaker 3
- Speaker 4
- **Stereo C:**
- Speaker 1
- Speaker 2
- Speaker 3
- Speaker 4

3. **Choose an Amplifier for Each Speaker:**
- **Speaker 1:**
- Amplifier 1
- **Speaker 2:**
- Amplifier 1
- **Speaker 3:**
- Amplifier 1
- **Speaker 4:**
- Amplifier 1

### Summary
All three options provide different levels of detail for Selena's choices. The first option gives a complete overview of all her possibilities, while the second focuses on one complete choice, and the third shows multiple stereo and speaker options with a single choice of amplifier. The best choice depends on what she wants to analyze and how much granularity she needs in her decision-making process.