With new batteries, Jayce's camping flashlight can work for up to 14 hours before it runs out of power. He just put new batteries in and has already used the flashlight for 3 hours. Let x represent how many more hours Jayce can use his flashlight before running out of power. Which inequality describes the problem?

To determine how many more hours Jayce can use his flashlight before the batteries run out, let's break down the information: 1. **Total Capacity:** The flashlight can work for up to **14 hours** with new batteries. 2. **Already Used:** Jayce has already used the flashlight for **3 hours**. 3. **Remaining Time:** Let **\( x \)** represent the number of additional hours he can use the flashlight. The combined usage (already used plus additional usage) should not exceed the total capacity: \[ \text{Already Used} + \text{Additional Usage} \leq \text{Total Capacity} \] Substituting the known values: \[ 3 \, \text{hours} + x \leq 14 \, \text{hours} \] **Final Inequality:** \[ 3 + x \leq 14 \] This inequality accurately represents that the total usage (3 hours already used plus \( x \) additional hours) must be at most 14 hours. **Answer:** \( 3 + x \leq 14 \)