Final answer:
Apparent magnitude (m) and brightness (b) are related to each other in the magnitude scale. The magnitude scale is a system used to quantify the brightness of celestial objects, such as stars.
Step-by-step explanation:
Apparent magnitude (m) and brightness (b) are related to each other in the magnitude scale. The magnitude scale is a system used to quantify the brightness of celestial objects, such as stars. The apparent magnitude of a star is a measure of how bright it appears to an observer on Earth. The brightness of a star is related to its apparent magnitude through an equation: b₂ = b₁ × 10^((m₁ - m₂)/2.5). In this equation, b₁ and b₂ represent the brightness of two stars, while m₁ and m₂ represent their respective magnitudes.