Question
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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 nower. Which inequality describes the problem?

Ask by Watson Turnbull. in the United States
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The inequality is \( 3 + x \leq 14 \).

Solution

To determine how many more hours Jayce can use his flashlight before it runs out of power, let's break down the information: 1. **Total Battery Life:** The flashlight can operate for a maximum of 14 hours with new batteries. 2. **Hours Already Used:** Jayce has already used the flashlight for 3 hours. 3. **Additional Usage (x):** We want to find the number of additional hours \( x \) he can use the flashlight. The total usage of the flashlight will be the sum of the hours already used and the additional hours. This can be represented by the inequality: \[ 3 + x \leq 14 \] This inequality states that the sum of the hours already used (3 hours) and the additional hours (\( x \)) should be less than or equal to the total battery life (14 hours). **Final Inequality:** \[ 3 + x \leq 14 \] Answer: \( 3 + x \leq 14 \)

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The Deep Dive

Jayce's flashlight can run for a total of 14 hours, and he's already used it for 3 hours. This means the remaining time he can use it is given by the inequality \( x \leq 14 - 3 \). This simplifies to \( x \leq 11 \), meaning Jayce can use his flashlight for 11 more hours before it runs out of power. Keep that flashlight handy, Jayce! Let the night adventures begin! And remember, if your flashlight isn't shining bright, it may just need a new pair of batteries and a dose of adventure spirit!

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