Answer:
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The investigation described verifies option B: "As particles gain energy, the material takes up more space."
When the cool air is pumped into the balloon in a shady area, the particles in the air have less energy and are closer together. When the balloon is moved to a bright, sunny location, the air inside the balloon absorbs the energy from the sunlight and the particles gain energy, which makes them move faster and farther apart. As a result, the air inside the balloon takes up more space and the balloon expands.
This phenomenon is an example of thermal expansion, which is the tendency of matter to change its shape, volume, and area in response to a change in temperature.