Question

two hikers are on a mountain trail. one hiker is at an altitude of 1500 meters, while the other hiker is at a different altitude. the following equation can be used to find the possible altitudes, (x), in meters, of the other hiker: (|x - 1500|=300). which of the following values completes the sentence about the other hikers altitude, in meters? the other hiker is at an altitude of either: 1200 meters or 1800 meters 1300 meters or 1900 meters 1100 meters or 1700 meters 1400 meters or 2000 meters

Explanation:

Step1: Resolver la ecuación con valor absoluto

La ecuación \(|x - 1500|=300\) se descompone en dos ecuaciones: \(x - 1500 = 300\) y \(x - 1500=- 300\).

Step2: Resolver la primera ecuación

Para \(x - 1500 = 300\), sumamos 1500 a ambos lados: \(x=300 + 1500=1800\).

Step3: Resolver la segunda ecuación

Para \(x - 1500=-300\), sumamos 1500 a ambos lados: \(x=-300 + 1500 = 1200\).

Answer:

1200 metros o 1800 metros