\(\text{www.the}\beta\text{etafunction.com}\)
Home
Login
Questions: Algebra BusinessCalculus
Please login to create an exam or a quiz.
On January 4, 1978 the price of a widget was $50.16. On January 4, 2004 the price of a widget was $44.62. Find the average rate of change in the price of a widget from 1978 to 2004. Round to the nearest cent.
The average rate of change is \(\displaystyle \frac{44.62-50.16}{2004-1978}= -0.21\) dollars per year.
\begin{question}On January 4, 1978 the price of a widget was \$50.16. On January 4, 2004 the price of a widget was \$44.62. Find the average rate of change in the price of a widget from 1978 to 2004. Round to the nearest cent.
\soln{9cm}{The average rate of change is $\frac{44.62-50.16}{2004-1978}= -0.21$ 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 widget was $50.16. On January 4, 2004 the price of a widget was $44.62. Find the average rate of change in the price of a widget from 1978 to 2004. Round to the nearest cent.</p> </p>
<p> <p>The average rate of change is <img class="equation_image" title=" \displaystyle \frac{44.62-50.16}{2004-1978}= -0.21 " src="/equation_images/%20%5Cdisplaystyle%20%5Cfrac%7B44.62-50.16%7D%7B2004-1978%7D%3D%20-0.21%20" alt="LaTeX: \displaystyle \frac{44.62-50.16}{2004-1978}= -0.21 " data-equation-content=" \displaystyle \frac{44.62-50.16}{2004-1978}= -0.21 " /> dollars per year.</p> </p>