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Answer :
Final answer:
To reach the summit of Mount Everest within 6 days from a camp at an altitude of 18,460 feet, the climbing team must ascend more than 1,761.5 feet per day. The closest given option representing this, assuming a typo, is f ≥ 1,221 (Option 3).
Explanation:
The team wants to climb from an altitude of 18,460 feet on Mount Everest to the summit at 29,029 feet within 6 days. To find the number of feet, f, per day the team must climb, we calculate the total feet to ascend and divide by the number of days.
Total altitude gain needed = Summit altitude - Current camp altitude = 29,029 - 18,460 = 10,569 feet.
To achieve this in 6 days, we divide the total feet by the number of days:
f = 10,569 feet / 6 days = 1,761.5 feet per day.
Therefore, the team must climb more than 1,761.5 feet per day to reach the summit in 6 days. The correct inequality to represent this situation is:
f ≥ 1,761.5
However, none of the given options match exactly, so there might be a typo in the options provided. If we assume that the correct answer is meant to be one of the provided options and is simply rounded differently, the closest option that indicates they need to climb at least this many feet per day would be:
f ≥ 1,221 (Option 3)
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