The evidence that best supports the student's claim that "Life is possible because of the unique mixture of gases that cycle through the Earth’s spheres" is:
a diagram illustrating how plants use carbon dioxide, water, and sunlight to produce food and oxygen gas.
This diagram directly relates to the cycling of gases, specifically how carbon dioxide is utilized by plants for photosynthesis, which produces oxygen—an essential gas for most life forms on Earth. This demonstrates the interdependence of life and the gases in the atmosphere.