Eric enjoys making pizza. when he makes pizza for his friends, sometimes eric cares about how the pieces are distributed, and sometimes he doesn’t. which of eric’s actions are associated with equity, and which of his actions are associated with efficiency?

To answer the question we can look at the definitions of both "efficiency". and equity", and decide which action falls under what category:
Efficiency is the quality to successfully finish a job without wasting any time or resources, by this definition when Eric does not care about how the pieces are distributed, he is showing efficiency, not wasting time or energy to distribute, but finishing the distribution.
Equity means the ability to be partial or fair with all, when Eric cares about how the pieces are distributed, he is showing equity.

lives by a moral and ethical code