The table below shows the air temperature T as a function of the height h above the earth's surface. 2000 4000 6000 8000 10,000 2 -11 -24 -37 -50 h, height (m) 0 T, temperature (°C) 15 Is T a linear function of h? Yes Give an exact formula for the linear function. T(h) =

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The table below shows the air temperature \( T \) as a function of the height \( h \) above the earth’s surface.

\[
\begin{array}{|c|c|c|c|c|c|c|}
\hline
h, \text{ height (m)} & 0 & 2000 & 4000 & 6000 & 8000 & 10{,}000 \\
\hline
T, \text{ temperature (°C)} & 15 & 2 & -11 & -24 & -37 & -50 \\
\hline
\end{array}
\]

**Is \( T \) a linear function of \( h \)?**

**Yes**

**Give an exact formula for the linear function.**

\( T(h) = \)

--- 

*Adapted from H. Tennekes, *The Simple Science of Flight* Cambridge: MIT Press, 1996.*
Transcribed Image Text:The table below shows the air temperature \( T \) as a function of the height \( h \) above the earth’s surface. \[ \begin{array}{|c|c|c|c|c|c|c|} \hline h, \text{ height (m)} & 0 & 2000 & 4000 & 6000 & 8000 & 10{,}000 \\ \hline T, \text{ temperature (°C)} & 15 & 2 & -11 & -24 & -37 & -50 \\ \hline \end{array} \] **Is \( T \) a linear function of \( h \)?** **Yes** **Give an exact formula for the linear function.** \( T(h) = \) --- *Adapted from H. Tennekes, *The Simple Science of Flight* Cambridge: MIT Press, 1996.*
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