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Questions: Algebra BusinessCalculus
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On January 4, 1978 the price of a stembolt was $49.70. On January 4, 1989 the price of a stembolt was $41.03. Find the average rate of change in the price of a stembolt from 1978 to 1989. Round to the nearest cent.
The average rate of change is \(\displaystyle \frac{41.03-49.70}{1989-1978}= -0.79\) dollars per year.
\begin{question}On January 4, 1978 the price of a stembolt was \$49.70. On January 4, 1989 the price of a stembolt was \$41.03. Find the average rate of change in the price of a stembolt from 1978 to 1989. Round to the nearest cent. \soln{9cm}{The average rate of change is $\frac{41.03-49.70}{1989-1978}= -0.79$ 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, 1978 the price of a stembolt was $49.70. On January 4, 1989 the price of a stembolt was $41.03. Find the average rate of change in the price of a stembolt from 1978 to 1989. Round to the nearest cent.</p> </p>
<p> <p>The average rate of change is <img class="equation_image" title=" \displaystyle \frac{41.03-49.70}{1989-1978}= -0.79 " src="/equation_images/%20%5Cdisplaystyle%20%5Cfrac%7B41.03-49.70%7D%7B1989-1978%7D%3D%20-0.79%20" alt="LaTeX: \displaystyle \frac{41.03-49.70}{1989-1978}= -0.79 " data-equation-content=" \displaystyle \frac{41.03-49.70}{1989-1978}= -0.79 " /> dollars per year.</p> </p>