To represent the temperature \( t \) at hour \( h \) in Burrtown, we note that the temperature starts at 32°F at midnight (when \( h = 0 \)) and drops by 2 degrees every hour.
This means that the temperature decreases with time, and we can write the equation as follows:
\[ t = 32 - 2h \]
Therefore, the correct answer is:
C. \( t = -2h + 32 \)