\(\text{www.the}\beta\text{etafunction.com}\)
Home
Login
Questions: Algebra BusinessCalculus
Please login to create an exam or a quiz.
On January 4, 1964 the price of a stembolt was $83.46. On January 4, 2007 the price of a stembolt was $96.82. Find the average rate of change in the price of a stembolt from 1964 to 2007. Round to the nearest cent.
The average rate of change is \(\displaystyle \frac{96.82-83.46}{2007-1964}= 0.31\) dollars per year.
\begin{question}On January 4, 1964 the price of a stembolt was \$83.46. On January 4, 2007 the price of a stembolt was \$96.82. Find the average rate of change in the price of a stembolt from 1964 to 2007. Round to the nearest cent.
\soln{9cm}{The average rate of change is $\frac{96.82-83.46}{2007-1964}= 0.31$ 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, 1964 the price of a stembolt was $83.46. On January 4, 2007 the price of a stembolt was $96.82. Find the average rate of change in the price of a stembolt from 1964 to 2007. Round to the nearest cent.</p> </p>
<p> <p>The average rate of change is <img class="equation_image" title=" \displaystyle \frac{96.82-83.46}{2007-1964}= 0.31 " src="/equation_images/%20%5Cdisplaystyle%20%5Cfrac%7B96.82-83.46%7D%7B2007-1964%7D%3D%200.31%20" alt="LaTeX: \displaystyle \frac{96.82-83.46}{2007-1964}= 0.31 " data-equation-content=" \displaystyle \frac{96.82-83.46}{2007-1964}= 0.31 " /> dollars per year.</p> </p>