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# The function $T$ given by $T(d)=10 d+20$ can be used to determine the temperature $T$, in degrees Celsius, at a depth $d$, in kilometers, inside the earth. $\\$ a) Find$T(5), T(20)$, and$T(1000)$.$ $b) The radius of the earth is about$5600 $$ \mathrm{~km}$. Use this fact to determine the domain of the function. $$

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VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 4a. We will substitute the given values of depth $d$ and solve for $T$. When $d=5$, the temperature is

$\begin{aligned} T(5)&=10\cdot5+20, &&\text{Substitute.}\\ &=50+20, &&\text{Multiply.}\\ &=70, &&\text{Add.} \end{aligned}$

The temperature when it is $5$ km deep is $70\degree C$.

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