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Patrick is hiking in the mountains. Patrick's elevation, \( g(c) \), in feet after \( c \) minutes is given by:

\[ g(c) = 3000 + 10c \]

Answer :

Final answer:

The function g(c)=3000+10c is a linear function representing a hiker's elevation. The hiker starts at 3000 feet and increases his elevation by 10 feet per minute.

Explanation:

The subject of this question is Mathematics, specifically linear functions. In the given function, g(c)=3000+10c, 'g(c)' represents Patrick's elevation in feet and 'c' represents the time in minutes. To interpret this function, we can see that Patrick starts at an elevation of 3000 feet (the y-intercept) and his altitude increases by 10 feet per minute (the slope). Therefore, the rate of Patrick's elevation is consistently increasing at 10 feet per minute as he hikes in the mountains, and you can find his elevation at any given minute by substituting that minute value in place of 'c'.

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Final answer:

The function g(c)=3000+10c represents the increasing elevation of Patrick as he hikes. The elevation increases by 10 feet each minute from an initial point of 3000 feet.

Explanation:

The function g(c)=3000+10c is a linear function representing the increase of Patrick's elevation as he hikes up the mountain. For each minute, Patrick's elevation increases by 10 feet due to the slope of 10 in the function. When Patrick starts his hike, his initial elevation is 3000 feet which is the y-intercept in the function. Hence, after c minutes Patrick's elevation in feet is obtained by substituting the value of c in the function g(c).To convert the height of Mt. Kilimanjaro from feet to kilometers, we can use the conversion factor: 1 foot = 0.0003048 kilometers. Multiplying the given height of Mt. Kilimanjaro, 19,565 ft, by this conversion factor will give us the height in kilometers.

So, the height of Mt. Kilimanjaro in kilometers is: 19,565 ft * 0.0003048 km/ft = 5.9624 km

Learn more about Linear Function here:

https://brainly.com/question/29205018

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