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

To determine how many more hours Jayce can use his flashlight before it runs out of power, let's analyze the information provided. 1. **Total Battery Life:** The flashlight can work for up to **14 hours** on new batteries. 2. **Time Already Used:** Jayce has already used the flashlight for **3 hours**. 3. **Remaining Battery Life ( \( x \) ):** We need to find how many **more** hours the flashlight can be used before the batteries are depleted. ### Setting Up the Equation The total battery life is the sum of the time already used and the remaining time: \[ \text{Time Used} + \text{Time Remaining} = \text{Total Battery Life} \] Substituting the known values: \[ 3\, \text{hours} + x = 14\, \text{hours} \] ### Solving for \( x \) \[ x = 14\, \text{hours} - 3\, \text{hours} \] \[ x = 11\, \text{hours} \] ### **Conclusion** Jayce can use his flashlight for **11 more hours** before the batteries run out of power.