Exercise 1.1.28

Question

Sketch a rough graph of the market value of a new car as a function of time for a period of 20 years. Assume the car is well maintained.

Khagan Gulusoy · Accepted Answer

Since the market value of a car decreases fast in the first years and more slowly in the subsequent years by the amortization law, the graph of the function will look as follows:

\begin{figure}[H] \centering
\begin{tikzpicture}[scale=0.90]
    \begin{axis}[axis lines=left,xmin=0,xmax=23,ymin=0,ymax=15,ytick=\empty,xlabel={$t$, time}, ylabel={$v$, market value}]
         \addplot[domain=0:20, samples=150, mark=none, color=red, ultra thick] {8/(x+0.615)-0.388}; 
         \addplot[mark=*] coordinates {(0,12.62)};
         \addplot[mark=*] coordinates {(20,0)};
    \end{axis}
\end{tikzpicture}
\end{figure}

Exercise 1.1.28

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Exercise 1.1.28

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