1. Driving to Portland.
You drive from Corvallis to Portland, and you measure your gas tank (in gallons) as a function of time (in hours):
\begin{equation*}
G(t) = G_o - \beta t^2
\end{equation*}
1. For each symbol in this equation (\(G\text{,}\) \(t\text{,}\) \(G_o\text{,}\) \(\beta\)):
- Describe what the symbol represents in words.
- Determine the units of the symbol.
2. Graph the function by hand.
- Clearly label the axes and any important features.
- Where are Corvallis and Portland on your graph?
- What are the advantages of graphing a function like this by hand? What advantages would you gain if you had used a graphing calculator instead?