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? Choices: (A)3 + x ≤ 14 (B)3 + x

Question

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?   Choices: (A)3 + x ≤ 14 (B)3 + x < 14    Solve the inequality. Then, complete the sentence to describe the solution. Jayce can use his flashlight for up to ____ more hours before running out of power.

Bytelearn · Accepted Answer

Understand the problem:  Step 1: Understand the problem and set up the inequality. Jayce has used the flashlight for 3 hours already, and the total battery life is 14 hours. We need to find out how many more hours (x) he can use it. The inequality that represents this situation is 3 + x ≤ 14, because the total time used (3 hours already used plus x more hours) should be less than or equal to the total battery life.Solve the inequality:  Step 2: Solve the inequality. Starting with 3 + x ≤ 14, subtract 3 from both sides to isolate x. 3 + x - 3 ≤ 14 - 3 x ≤ 11Interpret the solution:  Step 3: Interpret the solution. The solution x ≤ 11 means Jayce can use his flashlight for up to 11 more hours before the batteries run out.

Full solution

More problems from One-step inequalities: word problems

Related topics