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On a mountain, the temperature decreases by 18°F for each 5000-foot increase in elevation. At 7000 feet, the temperature is 41°F. What is the temperature at 22,000 feet?

On a mountain, the temperature decreases by 18°F for each 5000-foot increase in elevation. At 7000 feet, the temperature is 41°F. What is the temperature at 22,000 feet?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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**Problem Statement:** On a mountain, the temperature decreases by 18°F for each 5000-foot increase in elevation. At 7000 feet, the temperature is 41°F. What is the temperature at 22,000 feet? __________ **Explanation:** This problem involves calculating temperature changes with elevation on a mountain. The temperature decreases by a specific amount (18°F) for every 5000 feet of elevation gained. Starting from a known temperature at 7000 feet (41°F), the task is to determine the temperature at 22,000 feet. **Steps to Solve:** 1. Calculate the difference in elevation: 22,000 feet - 7,000 feet = 15,000 feet. 2. Determine how many increments of 5000 feet fit into 15,000 feet: 15,000 feet / 5000 feet = 3 increments. 3. Calculate the total temperature decrease: 3 increments * 18°F per increment = 54°F decrease. 4. Subtract the total decrease from the initial temperature: 41°F - 54°F = -13°F. Therefore, the temperature at 22,000 feet is -13°F.
Transcribed Image Text:**Problem Statement:** On a mountain, the temperature decreases by 18°F for each 5000-foot increase in elevation. At 7000 feet, the temperature is 41°F. What is the temperature at 22,000 feet? __________ **Explanation:** This problem involves calculating temperature changes with elevation on a mountain. The temperature decreases by a specific amount (18°F) for every 5000 feet of elevation gained. Starting from a known temperature at 7000 feet (41°F), the task is to determine the temperature at 22,000 feet. **Steps to Solve:** 1. Calculate the difference in elevation: 22,000 feet - 7,000 feet = 15,000 feet. 2. Determine how many increments of 5000 feet fit into 15,000 feet: 15,000 feet / 5000 feet = 3 increments. 3. Calculate the total temperature decrease: 3 increments * 18°F per increment = 54°F decrease. 4. Subtract the total decrease from the initial temperature: 41°F - 54°F = -13°F. Therefore, the temperature at 22,000 feet is -13°F.
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