the graphs below represent two waves. the waves are traveling at the same speed through the same medium…

Explanation:

Step1: Recall energy - amplitude relation

The energy per second of a wave is proportional to the square of its amplitude ($E\propto A^{2}$) when the waves are in the same medium and have the same speed.

Step2: Determine amplitudes

For the left - hand wave, the amplitude $A_1 = 6$ cm (the maximum displacement from the equilibrium position). For the right - hand wave, the amplitude $A_2= 7$ cm.

Step3: Compare energies

Since $E\propto A^{2}$, and $A_2 > A_1$, the wave with the larger amplitude transmits more energy per second.

Answer:

The wave on the right transmits more energy per second.