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On January 4, 1950 the price of a widget was $15.39. On January 4, 1966 the price of a widget was $42.65. Find the average rate of change in the price of a widget from 1950 to 1966. Round to the nearest cent.


The average rate of change is \(\displaystyle \frac{42.65-15.39}{1966-1950}= 1.70\) dollars per year.

Download \(\LaTeX\)

\begin{question}On January 4, 1950 the price of a widget was \$15.39.  On January 4, 1966 the price of a widget was \$42.65.  Find the average rate of change in the price of a widget from 1950 to 1966. Round to the nearest cent.
    \soln{9cm}{The average rate of change is $\frac{42.65-15.39}{1966-1950}= 1.70$ dollars per year.}

\end{question}

Download Question and Solution Environment\(\LaTeX\)
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\usepackage{amsmath}
\usepackage[margin=2cm]{geometry}
\usepackage{tcolorbox}

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\newenvironment{question}{{\noindent\bfseries Question \arabic{questioncount}.}}{\stepcounter{questioncount}}
\renewcommand{\labelenumi}{{\bfseries (\alph{enumi})}}

\newif\ifShowSolution
\newcommand{\soln}[2]{%
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\noindent\begin{tcolorbox}[colframe=blue,title=Solution]#2\end{tcolorbox}\else%
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\newcommand{\hideifShowSolution}[1]{%
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\everymath{\displaystyle}
\ShowSolutiontrue

\begin{document}\begin{question}(10pts) The question goes here!
    \soln{9cm}{The solution goes here.}

\end{question}\end{document}
HTML for Canvas
<p> <p>On January 4, 1950 the price of a widget was &#36;15.39.  On January 4, 1966 the price of a widget was &#36;42.65.  Find the average rate of change in the price of a widget from 1950 to 1966. Round to the nearest cent.</p> </p>
HTML for Canvas
<p> <p>The average rate of change is  <img class="equation_image" title=" \displaystyle \frac{42.65-15.39}{1966-1950}= 1.70 " src="/equation_images/%20%5Cdisplaystyle%20%5Cfrac%7B42.65-15.39%7D%7B1966-1950%7D%3D%201.70%20" alt="LaTeX:  \displaystyle \frac{42.65-15.39}{1966-1950}= 1.70 " data-equation-content=" \displaystyle \frac{42.65-15.39}{1966-1950}= 1.70 " />  dollars per year.</p> </p>