A power model is a relationship between two quantities that can be written in the form
\begin{equation*}
Q_2 = c \times Q_1^p\text{,}
\end{equation*}
where \(Q_1\) and \(Q_2\) are the two quantities, \(c\) is a number called the coefficient and \(p\) is a number called the power. The quantitites \(Q_1\) and \(Q_2\) are variables, and the coefficient and the power are numbers.
For example, the area of a square model is a power model. The two quantities are the area (\(A\)) and the side length (\(s\)), the coefficient is \(1\text{,}\) and the power is \(2\text{.}\)
Determine whether or not each of the models below is a power model. If it is a power model, identify the quantities, the coefficient, and the power. If it’s not a power model, explain why not.
You’ll need to be able to do the following things for this lesson. Rate how confident you are on a scale of 1 - 5 (1 = not confident and 5 = very confident).
