Final answer:
Resolution signifies the determination to achieve a goal, while persistence is the ongoing effort to bring that determination to fruition. Persistence, akin to grit or resilience, involves not giving up until the goal is accomplished.
Step-by-step explanation:
The statement that best explains the relationship between persistence and resolution is that resolution is determination, and persistence is acting on that determination. This is because resolution involves making a firm decision, which is a critical first step towards achieving a goal. On the other hand, persistence is the continuous effort required to act on the resolution and overcome obstacles until the goal is achieved. Persistence is often associated with grit or resilience, which can be defined as personal perseverance toward a task or goal. It denotes a commitment to not give up until something is finished or accomplished, reflecting the capacity for standing firm in the face of challenges.