Rate of Change Formula
\begin{equation*}
\text{rate of change } = \frac{\text{change dep}}{\text{change indep}} = \frac{\text{1st dep - 2nd dep}}{\text{1st indep - 2nd indep}}
\end{equation*}
Section B.2 Formulas used to find constants
Intercept (of Linear) Formula
\begin{equation*}
\text{intercept} = \text{dep} - \text{slope}\ast\text{indep}
\end{equation*}
Percent Change Formula
- If a quantity changes by a percentage corresponding to growth rate \(r\text{,}\) then the growth factor is\begin{equation*} \displaystyle g=1+r \end{equation*}
- If the growth factor is \(g\text{,}\) then the growth rate is\begin{equation*} r = g-1 \end{equation*}
Growth Factor Formula
If a quantity is growing (or decaying) exponentially, then the growth (or decay) factor is
\begin{equation*}
\displaystyle g = \sqrt[t]{\frac{a}{s}}
\end{equation*}
where \(s\) is the starting amount and \(a\) is the amount after \(t\) time periods.
