To interpret the equation \( T(x) = 2x + 10 \), where \( T(x) \) represents the temperature in degrees Celsius and \( x \) is the number of hours after noon, we want to find the initial value of the temperature.
The initial value corresponds to the temperature at the starting point of the time interval we're considering, specifically at \( x = 0 \) (which is noon).
Substituting \( x = 0 \) into the equation:
\[ T(0) = 2(0) + 10 = 0 + 10 = 10 \]
Thus, the initial temperature at noon is \( 10°C \).
Therefore, the correct answer is:
10°C