At the start of a hike, a hiker was at a elevation of -50 feet (where 0 represents sea level). The hiker climbs at a rate of 15 per minute.
Question
At the start of a hike, a hiker was at a elevation of -50 feet (where 0 represents sea level). The hiker climbs at a rate of 15 per minute. Write an inequality that represents t, the number of minutes after the start of the hike, when the hiker’s elevation was higher than 5 feet above sea level.
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2021-10-07T10:35:05+00:00
2021-10-07T10:35:05+00:00 1 Answer
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Answer:
t > 3.66667 minutes
Step-by-step explanation:
The height of the hiker at any time is given by
H(t) = -50 + 15t
At H = 5 ft,
5 = -50 + 15t
15t = 55
t = (11/3) = 3.6667 minutes; the hiker’s elevation is exactly 5 ft at this point.
From then on,
H(t) > 5 ft
-50 + 15t > 5
t > 3.6667 minutes