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?
Answer
A
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.
B
List the 3 types of stereos. Draw branches from each type and list the 4 speakers at the ends.
C
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.
D
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.
Explanation
A branching diagram should show each choice in sequence. Start with the 3 stereo types, branch from each to show all 4 speaker choices, and then branch from each speaker choice to show both amplifier choices. Choice A includes all three categories and their possible combinations; the other choices leave out some choices or do not show all 2 amplifiers.
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