Final answer:
The statement is true; a wave continues to travel as long as it possesses energy, with higher amplitudes indicating higher energy content.
Step-by-step explanation:
The statement "A wave will travel only as long as it has energy to carry" is true. Waves are disturbances that transfer energy from one point to another. In the context of electromagnetic radiation, each type has a characteristic wavelength, with shorter wavelengths carrying more energy and longer wavelengths carrying less. A useful analogy is the movement of a heavy rope: it takes less energy to create long, wide waves, but much more energy to produce short, tight waves. The energy in a wave is also proportional to the square of its amplitude, meaning waves with higher amplitudes carry more energy. This principle applies to various types of waves, such as mechanical waves on strings, water waves, sound waves, and electromagnetic waves.