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{\LARGE{
\hfil Math 120 A, B Winter 2012 \hfil \pp
\hfil Mid-Term Exam Number Two\hfil  \pp
\hfil February 23, 2012 \hfil \pp
\hfil Answers \hfil \pp
}}

There were two versions of the exam.

Version A: In problem 1, the A population increases 10\% every 6 years.

\begin{enumerate}
\item 33.350039 years after 1990
\item (a) 17.95075 cm (b) The side length should be zero.
\item (a) $w=f(t)=4+0.15 t$ (b) $0 \le t \le 33.333$ (c) $\dsps t = f^{-1}(w) = \frac{w-4}{0.15}$
\item 90 meters
\end{enumerate}

Version B: In problem 1, the A population increases 13\% every 8 years.

\begin{enumerate}
\item 36.8857 years after 1990
\item (a) 29.173839 cm (b) The side length should be 75cm.
\item (a) $w=f(t)=5+t/3$ (b) $0 \le t \le 24$ 
(c) $\dsps t = f^{-1}(w) = 3(w-5)$
\item 120 meters
\end{enumerate}

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