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 $$ \mathrm{~km}$. Use this fact to determine the domain of the function. $$


Answered 1 year ago
Answered 1 year ago
Step 1
1 of 4

a. We will substitute the given values of depth dd and solve for TT. When d=5d=5, the temperature is

T(5)=105+20,Substitute.=50+20,Multiply.=70,Add.\begin{aligned} T(5)&=10\cdot5+20, &&\text{Substitute.}\\ &=50+20, &&\text{Multiply.}\\ &=70, &&\text{Add.} \end{aligned}

The temperature when it is 55 km deep is 70°C70\degree C.

Create an account to view solutions

Create an account to view solutions

More related questions