It is recommended that a hiker drink 18 ounces (oz) of water per 2-mile hike in a temperate climate and low-altitude areas. When planning a 7.5-mile hike, how much water should be brought along for one hiker?
A) 67.5 oz is the correct amount of water a hiker should bring along for a 7.5-mile hike.
The problem requires proportional reasoning, as the quantity of water needed directly relates to the distance of the hike. The initial recommendation is 18 oz of water for every 2 miles. To find the amount of water needed for a 7.5-mile hike, you'd multiply the ratio of water-to-miles by the length of the hike: (18 oz/2 miles) * 7.5 miles = 67.5 oz.
This choice may result from misunderstanding the initial water-to-mile ratio. If one were to incorrectly assume that 18 oz of water is needed for a 7.5-mile hike, then scaling this down to a 2-mile hike would yield approximately 4.8 oz. However, this incorrectly reverses the given ratio.
This choice might come from an incorrect calculation where the hiker is presumed to require 18 oz of water for the whole 7.5-mile hike, and then dividing this total by the number of miles (7.5), leading to an erroneous quantity of water per mile.
This choice seems to result from misunderstanding the initial ratio and the nature of the question. If a hiker incorrectly interprets the ratio as needing 18 oz for every 7.5 miles, then the water needed for a 2-mile hike would be approximately 0.83 oz. This choice reflects a misreading of the original given ratio.
When planning for a hike, it's crucial to properly understand and apply the recommended water-to-distance ratio. For a 7.5-mile hike in a temperate climate and low-altitude areas, a hiker should bring 67.5 oz of water, as per the given ratio of 18 oz per 2-mile hike. Incorrect interpretations of this ratio can lead to choices that significantly underestimate the amount of water needed, potentially putting a hiker at risk of dehydration.
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