Question
When digging into the earth, the temperature rises according to the following linear function t = 15 + 0.01h,t,h is the depth in meters. Calculate what will be the temperature at 100 m depth?
Hint:
We are given a linear function of temperature rise when we dig into earth. The linear function is t = 15 + 0.01h. The temperature depends upon the depth “h”. We have to find the temp at depth 100m.
The correct answer is:
The given linear function is t = 15 + 0.01h
Here, t denotes the temperature and h denotes the depth.
The temperature is the function of depth so we can write,
t = f(h)
We have to find the value of temperature at depth 100m. So, we will substitute h = 100 in the given function. We have to find f(100).
t = 15 + 0.01h
f(h) = 15 + 0.01h
f(100) = 15 + 0.01(100)
= 15
t = 15°C
So, temperature at depth 100m is 15°C.
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