Final answer:
The random change in price is similar to the type of motion known as Brownian motion, a chaotic random motion represented by option D. Brownian motion is characterized by the random walk of particles in a fluid, unpredictable on an individual level but with an overall predictable distribution in a larger system.
Step-by-step explanation:
The random change in price described in the question is similar to the kind of motion known as Brownian motion, which is a chaotic random motion of particles suspended in a fluid. This results from the collisions of the particles with the molecules of the fluid. The correct answer to the question is D. Brownian motion. Unlike linear motion, Brownian motion does not follow a straight path, and it differs from predictable motion because it does not follow a discernible pattern or trend that can be forecasted ahead of time.
Brownian motion can be thought of as a random walk, where the movement of a molecule in a fluid is random in magnitude and direction for individual molecules, though the overall gas may exhibit a predictable distribution of molecular speeds described by Maxwell-Boltzmann distribution. Brownian motion is often used as a model in various fields such as finance, physics, and biology to describe systems with random and chaotic behaviors.