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Questions: Algebra BusinessCalculus
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On January 4, 1967 the price of a widget was $99.81. On January 4, 2001 the price of a widget was $63.77. Find the average rate of change in the price of a widget from 1967 to 2001. Round to the nearest cent.
The average rate of change is \(\displaystyle \frac{63.77-99.81}{2001-1967}= -1.06\) dollars per year.
\begin{question}On January 4, 1967 the price of a widget was \$99.81. On January 4, 2001 the price of a widget was \$63.77. Find the average rate of change in the price of a widget from 1967 to 2001. Round to the nearest cent. \soln{9cm}{The average rate of change is $\frac{63.77-99.81}{2001-1967}= -1.06$ dollars per year.} \end{question}
\documentclass{article} \usepackage{tikz} \usepackage{amsmath} \usepackage[margin=2cm]{geometry} \usepackage{tcolorbox} \newcounter{ExamNumber} \newcounter{questioncount} \stepcounter{questioncount} \newenvironment{question}{{\noindent\bfseries Question \arabic{questioncount}.}}{\stepcounter{questioncount}} \renewcommand{\labelenumi}{{\bfseries (\alph{enumi})}} \newif\ifShowSolution \newcommand{\soln}[2]{% \ifShowSolution% \noindent\begin{tcolorbox}[colframe=blue,title=Solution]#2\end{tcolorbox}\else% \vspace{#1}% \fi% }% \newcommand{\hideifShowSolution}[1]{% \ifShowSolution% % \else% #1% \fi% }% \everymath{\displaystyle} \ShowSolutiontrue \begin{document}\begin{question}(10pts) The question goes here! \soln{9cm}{The solution goes here.} \end{question}\end{document}
<p> <p>On January 4, 1967 the price of a widget was $99.81. On January 4, 2001 the price of a widget was $63.77. Find the average rate of change in the price of a widget from 1967 to 2001. Round to the nearest cent.</p> </p>
<p> <p>The average rate of change is <img class="equation_image" title=" \displaystyle \frac{63.77-99.81}{2001-1967}= -1.06 " src="/equation_images/%20%5Cdisplaystyle%20%5Cfrac%7B63.77-99.81%7D%7B2001-1967%7D%3D%20-1.06%20" alt="LaTeX: \displaystyle \frac{63.77-99.81}{2001-1967}= -1.06 " data-equation-content=" \displaystyle \frac{63.77-99.81}{2001-1967}= -1.06 " /> dollars per year.</p> </p>